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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,648

#1

3, 4, 5

#2

m=-2

#4

3,5

#5

2

#6

(a)

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi Shivamcoder3013,

The solutions are all correct. Excellent!

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.

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,648

Thank-you. By the way, how come you stopped adding more questions to this? Its quite fun and challenging.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi Shivamcoder3013,

I shall try my best and post problems whenever I find time.

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.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

A # 8. Solve:

.

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.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 9. Solve the equation

using the formula for quadratic equation.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 10. Find the zeroes of the polynomial

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

.

A # 11. A polygon has 44 diagonals. Find the number of sides of the polygon. Diagonals of a polygon of n sides =

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 12. By lending an article for $18.75, a dealer loses as much percent as its cost price. Find the cost price of the article.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 13. The base of a triangle is 4 centimeters longer than its altitude. If the area of the triangle is 48 square centimeters, find its altitude.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 14. Find the whole number such that four times the number subtracted from three times the square of the number makes 15.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 15. If the square of a number is added to three times the number, the sum is 28.Find the number.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A #16. The length of a rectangular playground is 2 meters longer than its breadth. If the area of the playground is 195 square meters, lind the length and breadth.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 17. Find the roots of the equation

using the quadratic equation formula.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 18. Solve:

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 19. Solve: (x - 4)(x + 4) = 6x.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 20. Solve:

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 21. Solve for x:

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

.

A # 22. Solve:

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

.

A # 23. Solve:

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

.

A # 24. Solve:

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

.

A # 25. The ages of Kate and Kevin are 11 years and 14 years respectively. In how many years will the product of their ages will be 304?

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 26. Find two consecutive positive odd numbers such that the sum of their squares is equal to 130.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

A # 27. Solve the quadratic equation: (2y + 3)(3y - 2) + 2 = 0.

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

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**Jai Ganesh****Administrator**- Registered: 2005-06-28
- Posts: 47,107

Hi,

.

A # 28. Find the value of p so that the equation

has roots whose difference is 4.Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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