Question

Solve. X2 - x-6=0 {3, -2) {6, -1} (12, -3} (- 2, -3)

Answer 1

Answer:

below

Step-by-step explanation:

$x^{2} - x - 6 = 0$ is a quadratic equation so we will use the quadratic formula

$a = 1 \\b = -1 \\c = -6$

the quadratic formula is $b^{2} - 4ac$

• $b^{2} - 4ac$ = (-1)²- 4*(1)*(-6) = 25
• 25 is a positive value so the equation has two solutions

$x = \frac{-b - / + \sqrt{25} }{2a}$ ⇒ $\frac{1 -/+ 5}{2}$

                      ⇒ $x = -2 \\x = 3$

Answer 2

Answer:

-2, 3

Step-by-step explanation:

$x^2-x-6=0$

Factoring:

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

$\therefore x=3 \text{ or } x=-2$