Question

Solve the quadratic equation x(x+1)=8-x. Write your answer as a whole number or fraction

Answer 1

x=-4 or 2

Explanation:

x(x+1)=8-x

x^2+x=8-x

x^2+2x-8=0

x^2+4x-2x-8=0

x(x+4)-2(x+4)

(x-2)(x+4)=0

x-2=0

x=2

or

x+4=0

x=-4