Question

3x al cuadrado menos 24 x + 45 = 0​

Answer 1

$x1 = 5 \\ x2 = 3$

Explicación paso a paso:

${3x}^{2} - 24x + 45 = 0$

${a}^{2} - bx + c = 0$

$a = 3 \\ b = - 24 \\ c = 45$

$x = \frac{ - ( - 24) + - \sqrt{ {( - 24)}^{2} - 4(3)(45) } }{2(3)}$

$x = \frac{24 + - \sqrt{576 - 540} }{6}$

$x = \frac{24 + - \sqrt{36} }{6}$

$x = \frac{24 + - 6}{6}$

$x1 = \frac{24 + 6}{6} = \frac{30}{6} = 5$

$x2 = \frac{24 - 6}{6} = \frac{18}{6} = 3$

$x1 = 5 \\ x2 = 3$