Question

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

Answer 1

below

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 = (-b - / + √(25) )/(2a)` ⇒
`(1 -/+ 5)/(2)`

⇒
`x = -2 \\x = 3`

Answer 2

-2, 3

Explanation:

`x^2-x-6=0`

Factoring:

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

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