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5x^2 - 4x = 57
5x^2 - 4x - 57 = 0
5x - 19
x 3
5x - 19 = 0
5x = 19
x = 19/5 <<<< Respuesta, porque el resultado no puede ser negativo
x + 3 =0
x = -3
5x² - 4x = 57
5x² - 4x - 57 = 0
5(5x² - 4x - 57 = 0)/5
(5x)² - 4(5x) - 285 = 0/5
(5x - 19)(5x + 15)/5
(5x - 19) 5(x + 3)/5
(5x - 19)(x + 3) = 0
(5x - 19) = 0
x1 = 19/5
(x + 3) = 0
x2 = -3
Valores:
x1 = 19/5
x2 = -3