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受欢迎的代数 >

-2x^2-6x-7=0

解答

- 2 x^{2} - 6 x - 7 = 0

解答

x = - \frac{3}{2} - i \frac{5}{2}, x = - \frac{3}{2} + i \frac{5}{2}

求解步骤

- 2 x^{2} - 6 x - 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 ( - 2 ) ( - 7 )}{2 ( - 2 )}

化简

(- 6)^{2} - 4 (- 2) (- 7) : 25 i

x_{1, 2} = \frac{- ( - 6 ) \pm 2 5 i}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- ( - 6 ) + 2 5 i}{2 ( - 2 )}, x_{2} = \frac{- ( - 6 ) - 2 5 i}{2 ( - 2 )}

x = \frac{- ( - 6 ) + 2 5 i}{2 ( - 2 )} : - \frac{3}{2} - i \frac{5}{2}

x = \frac{- ( - 6 ) - 2 5 i}{2 ( - 2 )} : - \frac{3}{2} + i \frac{5}{2}

二次方程组的解是:

x = - \frac{3}{2} - i \frac{5}{2}, x = - \frac{3}{2} + i \frac{5}{2}

作图

流行的例子

10x^2-6x-18=x^2-6x

10 x^{2} - 6 x - 18 = x^{2} - 6 x

4 x^{2} + 7 = - 9 x

pi=-50+32q-4q^2

π = - 50 + 32 q - 4 q^{2}

1/3 (x+4)^2-1=5

\frac{1}{3} (x + 4)^{2} - 1 = 5

- 2 x^{2} - 3 x + 9 = 0