Question

What are the solutions of the equation?

z^2 + 11z + 24 = 0

a. 8, -3
b. 8, 3
c. -8, -3
d. -8, 3

Answer 1

c. -8, -3

Explanation:

We are given the following equation and we are to solve it by factorizing it:

`z^2 + 11z + 24 = 0`

We are to find factors of 24 such that when multiplied they give a product of 24 and when added they give a result of 11.

`z^2 + 3z + 8z + 24 = 0`

`z (z+3) + 8 (z+3) = 0`

`(z+3) (z+8) = 0`

`x = -3, z = -8`

Therefore, the correct answer option is c. -8, -3.

Answer 2

the solutions are -8, -3

Explanation:

We are given an equation z² + 11z + 24 = 0 and we have to find solutions for it, which means finding out the value of z.

We will do it by factorization method

We will factorize the equation such that the sum of two factor is equal to 11z and the product is 24z²

z² +8z + 3z + 24 = 0

z(z + 8) + 3(z + 8) = 0

taking z+8 common above

(z+3)(z+8) = 0

z+3 = 0, z = -3

z+8 = 0, z = -8

so the solutions are -8, -3