Answer to Question #263972 in Algebra for Ronnie

Question

Show that X^2+7x-44=0

Answer 1

x²+7x-44=0

Rewriting the expression by writing 7x as the difference. It will be like:

x²+11x-4x-44=0

Factor the expression by factoring out x from the expression

x*(x+11)-4(x+11)=0

Separate into possible cases

(x+11)*(x-4)=0

Solve the equations:

x+11=0

x-4=0

The equation has 2 solutions:

1) x=-11

2) x=4

Checking:

1) (-11)²+7*(-11)-44=121-77-44=0

2) 4²+7*4-44=16+28-44=0