Question

Solve k^2 + 13k + 30 = 0

Answer 1

K² + 13k + 30 = 0

This is a quadratic equation. Let's attempt solving it by factorization.

Coefficient of k² = 1, last term = 30

Multiply these two together 1*30 = 30

We think of two numbers that multiply to give 30 and add to give the middle term 13.

The two numbers are 3 and 10.

3*10 = 30,   3 + 10 = 13.

we replace the 13k with 3k + 10k

 k² + 13k + 30 = 0

k² + 3k + 10k + 30 = 0

k(k + 3) + 10(k + 3) = 0

(k + 3)(k + 10) = 0

(k + 3) = 0 or  (k + 10) = 0

k = 0 - 3  or  k = 0 - 10

k = -3, or -10

I hope this helps.