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受欢迎的代数 >

w^2+6w-11=0

解答

w^{2} + 6 w - 11 = 0

解答

w = - 3 + 25, w = - 3 - 25

+1

十进制

w = 1.47213 \dots, w = - 7.47213 \dots

求解步骤

w^{2} + 6 w - 11 = 0

使用求根公式求解

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

6^{2} - 4 \cdot 1 \cdot (- 11) = 45

w_{1, 2} = \frac{- 6 \pm 4 5}{2 \cdot 1}

将解分隔开

w_{1} = \frac{- 6 + 4 5}{2 \cdot 1}, w_{2} = \frac{- 6 - 4 5}{2 \cdot 1}

w = \frac{- 6 + 4 5}{2 \cdot 1} : - 3 + 25

w = \frac{- 6 - 4 5}{2 \cdot 1} : - 3 - 25

二次方程组的解是:

w = - 3 + 25, w = - 3 - 25

作图

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