Math Is Fun Forum

Shiver

Novice

Registered: 2023-09-09

Posts: 1

Task Pack 1(equations and system of equations)

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[*]Solve this equation: 3x-2+-6=4(x²+2x)2.[/*]
[*]Solve this equation: ln(4x)=(x-cos(x²))(3x-2)3.[/*]
[*]create an linear system of equations where x=2,y=0 and z=2.5  4.[/*]
[*]Let a³x²+b²x+c=0. What values are a,b,c if a < b and c = 4a[/*]
[/list]

amnkb

Member

Registered: 2023-09-19

Posts: 253

Re: Task Pack 1(equations and system of equations)

1. Solve this equation: 3x-2+-6=4(x²+2x)2.

what is 2. at end? a square?

2. Solve this equation: ln(4x)=(x-cos(x²))(3x-2)3.

what is 3. at end? (i dont think u can solve this w/ algebra; have to use numeric approx)

3. create an linear system of equations where x=2,y=0 and z=2.5  4.

pick numbers for x,y,z. use what they gave you to get values.

e.g. 3x+2y+4z=3*2+2*0+4*2.5 = 6+0+10 = 16 so eqn is 3x+2y+4z=16

now do two more to get system

Let a³x²+b²x+c=0. What values are a,b,c if a < b and c = 4a

put 4a in for c: a^3x^2+b^2x+4a=0

do quad fiormula for x in terms of a&b

do cases. e.g. if x=0 then what? (a=0 and b>0 so infinite sol'n set)

try other cases

(https://www.wolframalpha.com/input?i=a%5E3+x%5E2+%2B+b%5E2+x+%2B+4a+%3D+0%2C+a+%3C+b)