The area of a rectangular school yard is given by the equation x2 + 19x + 90 as measured in square yards. The teacher wants you to run the length. How far will you run if x = 30?

-4 or - 15

Step-by-step explanation:

Let's solve your equation step-by-step.

x^2+19x+90=30

Step 1: Subtract 30 from both sides.

x^2+19x+90-30=30-30

x^2+19x+60=0

Step 2: Factor left side of equation.

(x+4) (x+15) = 0

Step 3: Set factors equal to 0.

x+4=0 or x+15=0

x=-4 or x=-15

Answer:

x=-4 or x=-15