Question

Solve the following:
a) x^2- 2x - 24 = 0
b) x^2- 11x + 18 =0

Answer 1

A) 1. Factor x^2-2x-24

2. (x-6)(x+4)

3. Set the factors equal to 0. x-6=0, and x+4=0.

4. Solve for x. x-6+6=0+6, x=6. x+4-4=0-4, x=-4.

5. Solutions are x= 6, -4

B) x^2-11x+18=0

1. Factor x^2-11x+18

2. (x-9)(x-2)

3. Set factors equal to 0. x-9=0, and x-2=0.

4. Solve for x. x-9+9=0+9, x=9. x-2+2=0+2, x=2

5. Solutions are x=9, 2.

Explanation: