Question

I need help on questions d and e, not sure how to solve!

Answer 1

D

x=0

Explanation:

E)

`(-3x)/(x^2+2x-24) =(-3)/(25) \\x^2+2x-24=25x\\x^2+2x-25x-24=0\\x^2-23 x-24=0\\x^2-24x+x-24=0\\x(x-24)+1(x-24)=0\\(x-24)(x+1)=0\\x=24,-1`

Answer 2

D.

`m(x) = 0 \\ - 3x = 0 \\ x = 0`

E.

`m(x) = ( - 3)/(25)`

`\frac{ - 3x}{x {}^(2) + 2x - 24} = ( - 3)/(25)`

`- 3(x {}^(2) + 2x - 24) = - 3(x)(25) \\ divide \: both \: sides \: by - 3`

`x {}^(2) + 2x - 24 = 25x`

`x {}^(2) - 23x - 24 = 0`

`(x - 24)(x + 1) = 0`

`x = 24 \\ x = - 1`