The length of a rectangular mural is 2 ft more than three times the height. The area is 165 ft^2. Find the height of the mural.

x=-1±4√31/3 ft is the height

Step-by-step explanation:

let the height be x ft.

then the length would be 3x+2

area = L*H = x (3x+2)

165=3x²+2x

0 = 3x²+2x - 165

dividing the whole equation by 3

0=x²+2x/3-55

(x) ²+2 (x) (1/3) + (1/3) ² - 55 - (1/9) = 0

(x+1/3) ² - 495-1/9=0

(x+1/3) ² = 496/9

taking square root on both sides

(x+1/3) = ±4√31/3

x = ±4√31/3-1/3

x=-1±4√31/3 ft is the height