Question

3x^2+5x-2=0
решите уравнение

Answer 1

3x² + 5x - 2 = 0
D = b² - 4ac = 5² - 4×3×(-2) = 25 + 24 = 49
x1 = $\frac{- 5 + \sqrt{49} }{6}$ = $\frac{2}{6}$ = $\frac{1}{3}$
x2 = $\frac{ - 5 - \sqrt{49} }{6}$ = $\frac{-12}{6} = -2$
3(x - $\frac{1}{3}$)(x + 2) = 0
(x - $\frac{1}{3}$)(x + 2) = 0
x1 = $\frac{1}{3}$
x2 = -2