Question

Place your factors in the proper spots so that your answer will produce the original problem x^2-5x-36=0

Answer 1

See explanation

Explanation:

Given the quadratic equation;

x^2-5x-36=0

We have to look for two possible factors that may be added or subtracted to yield -5 and each must be a factor of 36.

The two possible factors now are -9 and +4

So we can write;

x^2- 9x + 4x - 36=0

x(x - 9) +4(x - 9)=0

Hence;

(x + 4) (x - 9) = 0

The two solutions of the equation are therefore;

x = -4 and x=9