Math Is Fun Forum

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: 10 second questions

Hi bobbym and Relentless,

The solution #5586 is perfect! Remarkable!

#5587. Find the values of 'k' for which the given equation has real and equal roots.

.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

bobbym, how do you have so many posts? You've averaged 40.6 posts per day for the last six and a half years as of today. One every 35 and a half minutes. For six and a half years. It's obscene. lol

Last edited by Relentless (2015-12-21 03:55:28)

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

I just brushed up on these now (:

#5587

25 - 4k^2 = 0
k = +/-5/2

Gives root of +/-1

I don't know if it makes sense to solve for different combinations of solutions of k substituted in, but doing so gives further x-values of +/-1 +/- √2

Last edited by Relentless (2015-12-21 04:12:54)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

bobbym, how do you have so many posts? You've averaged 40.6 posts per day for the last six and a half years as of today. One every 35 and a half minutes. For six and a half years. It's obscene.

The real reason is that I have lots of free time, more than anyone else.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

That's a pretty good reason (: Much worse ways to spend free time, and it is free for a reason.
But just to adjust for waking hours, it's really once every 23 minutes 38 seconds if you average 8 hours sleep. Just in case you were wondering P:

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Yep and I owe it all to JaneFairfax.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: 10 second questions

Hi Relentless and bobbym,

The solution #5587 is correct! Good work!

#5588. Find the value of 'k' for which the following quadratic equation has equal roots.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Last edited by Relentless (2015-12-21 15:33:42)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: 10 second questions

Hi Relentless and bobbym,

The solutions in #5588 are correct! Excellent, Relentless and bobbym!

#5589. If the price of a book is reduced by $5, a person can buy 5 more books for $300. Find the original list price of the book.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Hello;

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: 10 second questions

Hi Relentless,

#5590. A dealer sell a toy for $24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Oh, I should have paid more attention to the wording (: five MORE books, not five books. I agree with your solution, although the negative one seems counterintuitive (how is it that if they pay you $15 for every book, you could buy 5 more for $300 if they gave you $20 instead, or something? haha)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Well that's not a very exciting profit! (:
24 - x = x/100

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: 10 second questions

Hi bobbym and Relentless,

Neat work, bobbym!

#5591. The hypotenuse of a right-angled triangle is 6 meters more than twice the shortest side. If the third side is 2 meters less than the hypotenuse, find the sides of the triangle.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

Hello!

The equations are also true for 2, 0, -2.

Last edited by Relentless (2015-12-21 23:16:44)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: 10 second questions

Hi Relentless and bobbym,

The solution #5591 is correct! Excellent, Relentless and bobbym!

#5592. Find the value for 'k' for which

is exactly divisible by (x + 7).

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

I don't think there is enough information, or only enough to make guesses based on assumptions about x. But I'm looking forward to being wrong, haha

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: 10 second questions

Hi bobbym and Relentless,

#5593. If

, find the value of

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Relentless

Member

Registered: 2015-12-15

Posts: 631

Re: 10 second questions

I see...

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,413

Re: 10 second questions

Hi Relentless,

The solution #5593 is correct! Excellent!

#5594. Evaluate :

.

---

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: 10 second questions

Hi;

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.