Question

The area of a rectangle is given by the equation 2L^2+L=45, in which L is the rectangle's length. What is the length of the rectangle?

Answer 1

L = 4.5

Explanation:

You can rewrite the equation as 2L^2 + L - 45 = 0 and then solve using the quadratic formula

L = (-1 plus or minus the sq root of 361) / 4

L = (-1 plus or minus 19) / 4

L = -5 or 4.5 but lengths can't be negative so the length is 4.5