A rectangular photograph has an area of 65 square inches. If the length of the photo is 3 inches less than twice it's height, find the dimensions of the photo

A = L * H

A = 65

L = 2H - 3

65 = H (2H - 3)

65 = 2H^2 - 3H

-2H^2 + 3H + 65 = 0

(-Hh + 13) (H + 5) = 0

-2H + 13 = 0

-2H = - 13

H = - 13/-2

H = 6.5 < = = height is 6.5 inches

H + 5 = 0

H = - 5 ... this wont work because it is negative

L = 2H - 3

L = 2 (6.5) - 3

L = 13 - 3

L = 10 < = = length is 10 inches