Question

Cómo se resuelve esta ecuación por factorización 5x^2 -17x = -6, urgente por favor

Answer 1

Answer:

$x_{1} = \frac{2}{5} = 0.4$ and $x_{2} = 3$

Step-by-step explanation:

5x² - 17x = - 6

5x² - 17x + 6 = 0

5x² - 15x - 2x + 6 = 0

(5x² - 15x) - (2x - 6) = 0

5x(x - 3) - 2(x - 3) = 0

(x - 3)(5x - 2) = 0

x - 3 = 0 ⇒ x = 3

5x - 2 = 0 ⇒ x = 2/5 = 0.4

{0.4 , 3}