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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

completesquare x^2-6x+8

co m pl e t es q u a re x^{2} - 6 x + 8

x^{2} - 6 x + 4 = - 7 x + 6

(x - 5) (x + 3) = 0

4m^2-21m+10=-5m^2

4 m^{2} - 21 m + 10 = - 5 m^{2}

x^{2} + 117 = 18 x