Question

Resuelva las ecuaciones cuadráticas de la forma x2 + bx + c = 0

 x2 + 13 x + 40 = 0





x2 – 17 x + 72 = 0 y este también ​

Answer 1

Respuesta:

x² + 13x + 40 = 0

${x}^{1} = - 8 \\ {x}^{2} = - 5$

x² - 17x + 72 = 0

${x}^{1}=8 \\ {x}^{2} = 9$

Explicación paso a paso:

Fórmula General ↓

$x = \frac{-b±\sqrt{{b}^{2}-4ac}}{2a}$

x² + 13x + 40 = 0

$x = \frac{-13±\sqrt{13^{2}-4\times 40}}{2} \\\\ x = \frac{-13±\sqrt{169-160}}{2} \\\\ x = \frac{-13±\sqrt{9}}{2} \\\\ x = \frac{-13±3}{2} \\\\ x = \frac{-13 + 3}{2} = \frac{ - 10}{2} = - 5 \\\\ x = \frac{ - 13 - 3}{ 2} = \frac{ - 16}{2} = - 8$

x² - 17x + 72 = 0

$x = \frac{-(-17±\sqrt{{17}^{2}-4\times72}}{2}\\\\ x = \frac{17±\sqrt{289-288}}{2} \\\\x = \frac{17±\sqrt{1}}{2} \\\\ x = \frac{17±1}{2} \\\\x = \frac{17+1}{2} = \frac{18}{2} = 9 \\\\ x = \frac{17 - 1}{2} = \frac{16}{2} = 8$

Dame coronita ♕