Question

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Answer 1

Answer:

x = - 2, x = 3

Step-by-step explanation:

Given

x² - x - 6 = 0

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are + 2 and - 3 , since

2 × - 3 = - 6 and 2 - 3 = - 1 , then

(x + 2)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 3 = 0 ⇒ x = 3

Answer 2

Answer:

$x^2-x-6=0$

• $\left(x+2\right)\left(x-3\right)=0$

• $x+2=0\quad \mathrm{or}\quad \:x-3=0$

• $x+2=0$

• $x+2-2=0-2$     ← Subtract 2 from both sides

• $x=-2$

• $x-3=0$

• $x-3+3=0+3$    ← add 3 to both sides

• $x=3$

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hope it helps...

have a great day!!