Question

Ecuaciones cuadráticas

5x-8      7x-4
------ = --------
x-1         x+2

Answer 1

(5x-8)(x+2) = (x-1)(7x-4)

5x² + 2x - 16 = 7x² - 11x + 4

7x² - 5x² - 11x - 2x + 4 + 16 = 0

2x² - 13x + 20 = 0

(2x-5)(x-4) = 0

2x-5 = 0
x = 5/2

x-4 = 0
x = 4