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受欢迎的代数 >

4(1+4x)=x(x-7)

解答

4 (1 + 4 x) = x (x - 7)

解答

x = \frac{23 + 545}{2}, x = \frac{23 - 545}{2}

+1

十进制

x = 23.17261 \dots, x = - 0.17261 \dots

求解步骤

4 (1 + 4 x) = x (x - 7)

展开

4 (1 + 4 x) : 4 + 16 x

展开

x (x - 7) : x^{2} - 7 x

4 + 16 x = x^{2} - 7 x

交换两边

x^{2} - 7 x = 4 + 16 x

将

16 x

para o lado esquerdo

x^{2} - 23 x = 4

将

4

para o lado esquerdo

x^{2} - 23 x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 1 \cdot ( - 4 )}{2 \cdot 1}

(- 23)^{2} - 4 \cdot 1 \cdot (- 4) = 545

x_{1, 2} = \frac{- ( - 23 ) \pm 545}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 23 ) + 545}{2 \cdot 1}, x_{2} = \frac{- ( - 23 ) - 545}{2 \cdot 1}

x = \frac{- ( - 23 ) + 545}{2 \cdot 1} : \frac{23 + 545}{2}

x = \frac{- ( - 23 ) - 545}{2 \cdot 1} : \frac{23 - 545}{2}

二次方程组的解是:

x = \frac{23 + 545}{2}, x = \frac{23 - 545}{2}

作图

流行的例子

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