Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!

Solve the equation.

x^2 + 10x + 24 = 0


A) -12 and 2

B) 12 and -2

C) -4 and -6

D) 4 and 6

Answer 1

Option C

Explanation:

Given a quadratic equation

x^2+10x+24 =0

We can use either formula or factorization method to solve this equation.

The last term is 24, it is a product of 6 and 4. Sum =6+4 =10

Hence factoring can be done easier

Split the middle term as 6x +4x

x^2+6x+4x+24 =0

x(x+6)+4(x+6)=0

(x+4)(x+6)=0

Either x+4 =0 or x+6 =0

x=-6 or x =-4