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受欢迎的代数 >

-4x^2+6x+16=0

解答

- 4 x^{2} + 6 x + 16 = 0

解答

x = - \frac{- 3 + 73}{4}, x = \frac{3 + 73}{4}

+1

十进制

x = - 1.38600 \dots, x = 2.88600 \dots

求解步骤

- 4 x^{2} + 6 x + 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 4 ) \cdot 16}{2 ( - 4 )}

6^{2} - 4 (- 4) \cdot 16 = 273

x_{1, 2} = \frac{- 6 \pm 2 73}{2 ( - 4 )}

将解分隔开

x_{1} = \frac{- 6 + 2 73}{2 ( - 4 )}, x_{2} = \frac{- 6 - 2 73}{2 ( - 4 )}

x = \frac{- 6 + 2 73}{2 ( - 4 )} : - \frac{- 3 + 73}{4}

x = \frac{- 6 - 2 73}{2 ( - 4 )} : \frac{3 + 73}{4}

二次方程组的解是:

x = - \frac{- 3 + 73}{4}, x = \frac{3 + 73}{4}

作图

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