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受欢迎的代数 >

z(2z-3)=14

解答

z (2 z - 3) = 14

解答

z = \frac{7}{2}, z = - 2

+1

十进制

z = 3.5, z = - 2

求解步骤

z (2 z - 3) = 14

展开

z (2 z - 3) : 2 z^{2} - 3 z

2 z^{2} - 3 z = 14

将

14

para o lado esquerdo

2 z^{2} - 3 z - 14 = 0

使用求根公式求解

z_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 2 ( - 14 )}{2 \cdot 2}

(- 3)^{2} - 4 \cdot 2 (- 14) = 11

z_{1, 2} = \frac{- ( - 3 ) \pm 11}{2 \cdot 2}

将解分隔开

z_{1} = \frac{- ( - 3 ) + 11}{2 \cdot 2}, z_{2} = \frac{- ( - 3 ) - 11}{2 \cdot 2}

z = \frac{- ( - 3 ) + 11}{2 \cdot 2} : \frac{7}{2}

z = \frac{- ( - 3 ) - 11}{2 \cdot 2} : - 2

二次方程组的解是:

z = \frac{7}{2}, z = - 2

作图

流行的例子

101x^2+52x+16=0

101 x^{2} + 52 x + 16 = 0

4 x^{2} + 7 x = 3

x^{2} - 14 x + 11 = 11

(2 x + 1)^{2} + 5 x = 10

9x^2-60x+100=20

9 x^{2} - 60 x + 100 = 20