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受欢迎的代数 >

solvefor m,h=m(10)+((1+m^2)/(40))*100

解答

求解

m, h = m (10) + (\frac{1 + m ^{2}}{40}) \cdot 100

解答

m = \frac{- 10 + 10 h + 75}{5}, m = \frac{- 10 - 10 h + 75}{5}

求解步骤

h = m (10) + (\frac{1 + m ^{2}}{40}) \cdot 100

展开

m (10) + (\frac{1 + m ^{2}}{40}) \cdot 100 : 10 m + \frac{5 m ^{2}}{2} + \frac{5}{2}

h = 10 m + \frac{5 m ^{2}}{2} + \frac{5}{2}

交换两边

10 m + \frac{5 m ^{2}}{2} + \frac{5}{2} = h

将

h

para o lado esquerdo

10 m + \frac{5 m ^{2} + 5}{2} - h = 0

改写成标准形式

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

\frac{5 m ^{2}}{2} + 10 m + \frac{5}{2} - h = 0

使用求根公式求解

m_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot \frac{5}{2} ( \frac{5}{2} - h )}{2 \cdot \frac{5}{2}}

化简

1 0^{2} - 4 \cdot \frac{5}{2} (\frac{5}{2} - h) : 10 h + 75

m_{1, 2} = \frac{- 10 \pm 10 h + 75}{2 \cdot \frac{5}{2}}

将解分隔开

m_{1} = \frac{- 10 + 10 h + 75}{2 \cdot \frac{5}{2}}, m_{2} = \frac{- 10 - 10 h + 75}{2 \cdot \frac{5}{2}}

m = \frac{- 10 + 10 h + 75}{2 \frac{5}{2}} : \frac{- 10 + 10 h + 75}{5}

m = \frac{- 10 - 10 h + 75}{2 \frac{5}{2}} : \frac{- 10 - 10 h + 75}{5}

二次方程组的解是:

m = \frac{- 10 + 10 h + 75}{5}, m = \frac{- 10 - 10 h + 75}{5}

作图

流行的例子

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72 t^{2} - 12 t - 24 = 0

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