Question

Which is a solution to (X - 3)(x + 9) = -27?

Answer 1

Answer is C

Explanation:

EDG2021

Answer 2

`x_(1) =0\\\\x_(2)=-6`

Explanation:

We apply distributive property to the polynomial:

(X - 3)(x + 9) = -27

x*x+9*x-3*x-3*9=-27

`x^(2) +9x-3x-27=-27`

`x^(2) +6x-27+27= 0`

`x^(2)+6x+0=0`

we will use the quadratic formula

x=
`\frac{-b+-\sqrt{b^(2)-4*a*c}}{2*a}`

a=1 b=6 c=0

we have:

X=
`\frac{-6+-\sqrt{6^(2)-4*1*0}}{2*1}`

x=
`(-6+-√(36))/(2)`

X=
`(-6+-6)/(2)`

so we have

`x_(1) =(-6+6)/(2)`

`x_(2) =(-6-6)/(2)`

finally we have

`x_(1)`=0

`x_(2)`=-6