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受欢迎的代数 >

3/2 z^2-4z-1=0

解答

\frac{3}{2} z^{2} - 4 z - 1 = 0

解答

z = \frac{4 + 22}{3}, z = \frac{4 - 22}{3}

+1

十进制

z = 2.89680 \dots, z = - 0.23013 \dots

求解步骤

\frac{3}{2} z^{2} - 4 z - 1 = 0

在两边乘以

2

3 z^{2} - 8 z - 2 = 0

使用求根公式求解

z_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 2 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 2) = 222

z_{1, 2} = \frac{- ( - 8 ) \pm 2 22}{2 \cdot 3}

将解分隔开

z_{1} = \frac{- ( - 8 ) + 2 22}{2 \cdot 3}, z_{2} = \frac{- ( - 8 ) - 2 22}{2 \cdot 3}

z = \frac{- ( - 8 ) + 2 22}{2 \cdot 3} : \frac{4 + 22}{3}

z = \frac{- ( - 8 ) - 2 22}{2 \cdot 3} : \frac{4 - 22}{3}

二次方程组的解是:

z = \frac{4 + 22}{3}, z = \frac{4 - 22}{3}

作图

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