Question

What is the solution set to the equation
15 – 4x = x2 - 6x ? Show your work algebraically.

Answer 1

The solution of given expression = 5 , -3

Explanation:

Given expression;

15 - 4x = x² - 6x

Find:

The solution of given expression

Computation:

15 - 4x = x² - 6x

x² - 6x + 4x - 15 = 0

x² - 2x - 15 = 0

x² - (5 - 3)x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) + 3(x - 5) = 0

(x - 5)(x + 3) = 0

So,

x - 5 = 0 and x + 3 = 0

x = 5 and x = -3

The solution of given expression = 5 , -3