The given expression represents the area. Find the side length of the square. 64r^2-144r+81

64r ^ 2-144r + 81

For this case, what we can do is rewrite the second degree polynomial.

Apply resolvent:

a = 64

b = - 144

c = 81

x = ( - b + / - root (b ^ 2 - 4ac)) / 2a

x = ( - ( - 144) + / - root (( - 144) ^ 2 - 4 * (64) * (81))) / 2 (64)

x = ( - ( - 144) + / - root (0)) / 128

x = 144/128

x = 72/64

x = 36/32

x = 18/16

x = 9/8

Rewriting the polynomial:

(8r-9) * (8r-9)

Answer:

The side length of the square is:

(8r-9)