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受欢迎的代数 >

2x^2+5x-2=3x(5x+2)

解答

2 x^{2} + 5 x - 2 = 3 x (5 x + 2)

解答

x = - \frac{1}{26} - i \frac{103}{26}, x = - \frac{1}{26} + i \frac{103}{26}

求解步骤

2 x^{2} + 5 x - 2 = 3 x (5 x + 2)

展开

3 x (5 x + 2) : 15 x^{2} + 6 x

2 x^{2} + 5 x - 2 = 15 x^{2} + 6 x

将

6 x

para o lado esquerdo

2 x^{2} - x - 2 = 15 x^{2}

将

15 x^{2}

para o lado esquerdo

- 13 x^{2} - x - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 ( - 13 ) ( - 2 )}{2 ( - 13 )}

化简

(- 1)^{2} - 4 (- 13) (- 2) : 103 i

x_{1, 2} = \frac{- ( - 1 ) \pm 103 i}{2 ( - 13 )}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 103 i}{2 ( - 13 )}, x_{2} = \frac{- ( - 1 ) - 103 i}{2 ( - 13 )}

x = \frac{- ( - 1 ) + 103 i}{2 ( - 13 )} : - \frac{1}{26} - i \frac{103}{26}

x = \frac{- ( - 1 ) - 103 i}{2 ( - 13 )} : - \frac{1}{26} + i \frac{103}{26}

二次方程组的解是:

x = - \frac{1}{26} - i \frac{103}{26}, x = - \frac{1}{26} + i \frac{103}{26}

作图

流行的例子

1/3 (2x-3/7)+1/6 x= 4/7

\frac{1}{3} (2 x - \frac{3}{7}) + \frac{1}{6} x = \frac{4}{7}

因式分解-x^2+x+6

f a c t or - x^{2} + x + 6

- 4 < 6 x + 8 < 8

\frac{2}{8} = \frac{y}{12}

∣ x - 3 ∣ > 4