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受欢迎的代数 >

4x^2-32x=-71

解答

4 x^{2} - 32 x = - 71

解答

x = 4 + i \frac{7}{2}, x = 4 - i \frac{7}{2}

求解步骤

4 x^{2} - 32 x = - 71

将

71

para o lado esquerdo

4 x^{2} - 32 x + 71 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 32 ) \pm ( - 32 ) ^{2} - 4 \cdot 4 \cdot 71}{2 \cdot 4}

化简

(- 32)^{2} - 4 \cdot 4 \cdot 71 : 47 i

x_{1, 2} = \frac{- ( - 32 ) \pm 4 7 i}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 32 ) + 4 7 i}{2 \cdot 4}, x_{2} = \frac{- ( - 32 ) - 4 7 i}{2 \cdot 4}

x = \frac{- ( - 32 ) + 4 7 i}{2 \cdot 4} : 4 + i \frac{7}{2}

x = \frac{- ( - 32 ) - 4 7 i}{2 \cdot 4} : 4 - i \frac{7}{2}

二次方程组的解是:

x = 4 + i \frac{7}{2}, x = 4 - i \frac{7}{2}

作图

流行的例子

3 x^{2} + 16 x = 3

x = - 6 x^{2} + 8 x + 4

9 x^{2} - 4 x = 1

solvefor y,x^2= 1/(sqrt(y+4))

so l v e f or y, x^{2} = \frac{1}{y + 4}

u^{2} = - 16