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受欢迎的代数 >

6x^2+11x-96=0

解答

6 x^{2} + 11 x - 96 = 0

解答

x = \frac{- 11 + 5 97}{12}, x = \frac{- 11 - 5 97}{12}

+1

十进制

x = 3.18702 \dots, x = - 5.02035 \dots

求解步骤

6 x^{2} + 11 x - 96 = 0

使用求根公式求解

x_{1, 2} = \frac{- 11 \pm 1 1 ^{2} - 4 \cdot 6 ( - 96 )}{2 \cdot 6}

1 1^{2} - 4 \cdot 6 (- 96) = 597

x_{1, 2} = \frac{- 11 \pm 5 97}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 11 + 5 97}{2 \cdot 6}, x_{2} = \frac{- 11 - 5 97}{2 \cdot 6}

x = \frac{- 11 + 5 97}{2 \cdot 6} : \frac{- 11 + 5 97}{12}

x = \frac{- 11 - 5 97}{2 \cdot 6} : \frac{- 11 - 5 97}{12}

二次方程组的解是:

x = \frac{- 11 + 5 97}{12}, x = \frac{- 11 - 5 97}{12}

作图

流行的例子

\frac{2}{3} x^{2} - 4 = 2

- 2 x^{2} - 4 x + 7 = 0

(x + 2) (4 x - 3) = 0

4 n^{2} - 8 n - 12 = 0

solvefor x,4x^2-16x=0

so l v e f or x, 4 x^{2} - 16 x = 0