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受欢迎的代数 >

4y^2+8y-12y-7=0

解答

4 y^{2} + 8 y - 12 y - 7 = 0

解答

y = \frac{1 + 2 2}{2}, y = \frac{1 - 2 2}{2}

+1

十进制

y = 1.91421 \dots, y = - 0.91421 \dots

求解步骤

4 y^{2} + 8 y - 12 y - 7 = 0

整理后得

4 y^{2} - 4 y - 7 = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 4 ( - 7 )}{2 \cdot 4}

(- 4)^{2} - 4 \cdot 4 (- 7) = 82

y_{1, 2} = \frac{- ( - 4 ) \pm 8 2}{2 \cdot 4}

将解分隔开

y_{1} = \frac{- ( - 4 ) + 8 2}{2 \cdot 4}, y_{2} = \frac{- ( - 4 ) - 8 2}{2 \cdot 4}

y = \frac{- ( - 4 ) + 8 2}{2 \cdot 4} : \frac{1 + 2 2}{2}

y = \frac{- ( - 4 ) - 8 2}{2 \cdot 4} : \frac{1 - 2 2}{2}

二次方程组的解是:

y = \frac{1 + 2 2}{2}, y = \frac{1 - 2 2}{2}

作图

流行的例子

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