A television screens diagonal length is 38 inches. The width is 6 inches more than the height. Find the dimensions of the screen.

Answer 1

x^2 + (x+6)^2 = 38^2

x^2 + x^2 + 12x + 36 = 1444

2x^2 + 12x - 1408 = 0

x^2 + 6x - 704 = 0

x = sqrt(713)-3

sqrt(713)-3 and sqrt(713)+3

check:

[sqrt(713)-3 ]^2 + [ sqrt(713) + 3]^2 =

713 - 6*sqrt(713) + 9 + 713 + 6 * sqrt(713) + 9 = 1444 = 38^2

23.702059845637377344148367706596‬...

and

29.702059845637377344148367706596‬