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受欢迎的代数 >

z^2-7z-12=-5z

解答

z^{2} - 7 z - 12 = - 5 z

解答

z = 1 + 13, z = 1 - 13

+1

十进制

z = 4.60555 \dots, z = - 2.60555 \dots

求解步骤

z^{2} - 7 z - 12 = - 5 z

将

5 z

para o lado esquerdo

z^{2} - 2 z - 12 = 0

使用求根公式求解

z_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot ( - 12 )}{2 \cdot 1}

(- 2)^{2} - 4 \cdot 1 \cdot (- 12) = 213

z_{1, 2} = \frac{- ( - 2 ) \pm 2 13}{2 \cdot 1}

将解分隔开

z_{1} = \frac{- ( - 2 ) + 2 13}{2 \cdot 1}, z_{2} = \frac{- ( - 2 ) - 2 13}{2 \cdot 1}

z = \frac{- ( - 2 ) + 2 13}{2 \cdot 1} : 1 + 13

z = \frac{- ( - 2 ) - 2 13}{2 \cdot 1} : 1 - 13

二次方程组的解是:

z = 1 + 13, z = 1 - 13

作图

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