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受欢迎的代数 >

x/2 (x/2+1)=930

解答

\frac{x}{2} (\frac{x}{2} + 1) = 930

解答

x = 60, x = - 62

求解步骤

\frac{x}{2} (\frac{x}{2} + 1) = 930

在两边乘以

2

x (\frac{x}{2} + 1) = 1860

展开

x (\frac{x}{2} + 1) : \frac{x ^{2}}{2} + x

\frac{x ^{2}}{2} + x = 1860

将

1860

para o lado esquerdo

\frac{x ^{2}}{2} + x - 1860 = 0

改写成标准形式

a x^{2} + b x + c = 0

\frac{1 \cdot x ^{2}}{2} + x - 1860 = 0

使用求根公式求解

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot \frac{1}{2} ( - 1860 )}{2 \cdot \frac{1}{2}}

1^{2} - 4 \cdot \frac{1}{2} (- 1860) = 61

x_{1, 2} = \frac{- 1 \pm 61}{2 \cdot \frac{1}{2}}

将解分隔开

x_{1} = \frac{- 1 + 61}{2 \cdot \frac{1}{2}}, x_{2} = \frac{- 1 - 61}{2 \cdot \frac{1}{2}}

x = \frac{- 1 + 61}{2 \frac{1}{2}} : 60

x = \frac{- 1 - 61}{2 \frac{1}{2}} : - 62

二次方程组的解是:

x = 60, x = - 62

作图

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