Question

Encontre as raizes da equação do 2° grau x² - 8x + 15 = 0. Use a formula de Bhaskara.​

Answer 1

Respuesta:

Las raices son 5 y 3

Explicación paso a paso:

$x^{2} - 8x + 15 = 0$

a = 1 ;  b = - 8 ;  c = + 15

formula de Bhaskara.​

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

$x = \frac{-(-8) +\sqrt{(-8)^{2} -4(1)(15)} }{2(1)} \\x = \frac{ + 8 + \sqrt{64 - 60} }{2}\\x = \frac{ + 8 + \sqrt{4} }{2}\\x = \frac{ + 8 + 2 }{2}\\x = \frac{ 10 }{2}\\x=5$                    $x = \frac{-(-8) - \sqrt{(-8)^{2} -4(1)(15)} }{2(1)} \\x = \frac{ + 8 - \sqrt{64 - 60} }{2}\\x = \frac{ + 8 - \sqrt{4} }{2}\\x = \frac{ + 8 - 2 }{2}\\x = \frac{ 6 }{2}\\x= 3$