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受欢迎的代数 >

4z^2-4z-15=0

解答

4 z^{2} - 4 z - 15 = 0

解答

z = \frac{5}{2}, z = - \frac{3}{2}

+1

十进制

z = 2.5, z = - 1.5

求解步骤

4 z^{2} - 4 z - 15 = 0

使用求根公式求解

z_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 4 ( - 15 )}{2 \cdot 4}

(- 4)^{2} - 4 \cdot 4 (- 15) = 16

z_{1, 2} = \frac{- ( - 4 ) \pm 16}{2 \cdot 4}

将解分隔开

z_{1} = \frac{- ( - 4 ) + 16}{2 \cdot 4}, z_{2} = \frac{- ( - 4 ) - 16}{2 \cdot 4}

z = \frac{- ( - 4 ) + 16}{2 \cdot 4} : \frac{5}{2}

z = \frac{- ( - 4 ) - 16}{2 \cdot 4} : - \frac{3}{2}

二次方程组的解是:

z = \frac{5}{2}, z = - \frac{3}{2}

作图

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