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

Question

asked Sep 22, 2020 95.1k views

2 Answers

Glen Selle · Answer 1 · 2020-09-28T01:47:56+0000

Answer:

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

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