The width of a rectangle is 3 less than twice its length. if the area of the rectangle is 193 cm 2 cm2, what is the length of the diagonal

W=2L-3

W*L=193

replace W with 2L-3: (2L-3) L=193

2L^2-3L-193=0

Cannot factor

are you sure the numbers are correct?

If it cannot be factored, use the quadratic formula to find out L, then you can find out W

use the Pythagorean theorem to find the diagonal. I don't see an easier way.