20 points! Thank you :)

Question

asked Sep 26, 2021 20.8k views

2 Answers

Mark Sands · Answer 1 · 2021-09-26T16:38:44+0000

The quadratic expression:

$2 {x}^(2) - 2x - 12$

★ By split middle term,we get

$2 {x}^(2) - 6x + 4x - 12$

2x(x - 3) + 4( x - 3)

(2x + 4) (x - 3)

$2x + 4 = 0 \: \: and \: \: x - 3 = 0$

$2 x = - 4 \: \: and \: \: x = 3$

$x = - 2 \: \: and \: \: x = 3$

Therefore , the two solution of given quadratic equations is -2 and 3.

Bleadof · Answer 2 · 2021-10-01T08:08:45+0000

Answer:

$\Large \boxed{x=-2 \ \mathrm{and} \ x=3}$

Explanation:

The quadratic expression is given.

2x^2-2x-12=0

Factor the left side of the equation.

2(x+2)(x-3)=0

Set the factors equal to 0.

x+2=0

x=-2

x-3=0

x=3

The two solutions work in the original equation. The solutions make the equation true.