Question

решите уровнения 5x+x2-6=0​

Answer 1

5x+x²-6=0​

x² + 5x - 6 = 0

a = 1, b = 5. c = -6

D = b² - 4ac = 5² - 4*1*(-6) = 25 - ( - 24) = 25+ 24 = 49 > 0 - уравнение имеет 2 корня

$x1 = \frac{-b+\sqrt{D} }{2a} =\frac{-5+\sqrt{49} }{2*1} = \frac{-5+7}{2} = \frac{2}{2} =1\\x2 = \frac{-b-\sqrt{D} }{2a} =\frac{-5-\sqrt{49} }{2*1} = \frac{-5-7}{2} = \frac{-12}{2} =-6$

Ответ: -6; 1