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受欢迎的代数 >

76= 1/2 (h(2h+3))

解答

76 = \frac{1}{2} (h (2 h + 3))

解答

h = 8, h = - \frac{19}{2}

+1

十进制

h = 8, h = - 9.5

求解步骤

76 = \frac{1}{2} (h (2 h + 3))

在两边乘以

2

152 = h (2 h + 3)

展开

h (2 h + 3) : 2 h^{2} + 3 h

152 = 2 h^{2} + 3 h

交换两边

2 h^{2} + 3 h = 152

将

152

para o lado esquerdo

2 h^{2} + 3 h - 152 = 0

使用求根公式求解

h_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 152 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 152) = 35

h_{1, 2} = \frac{- 3 \pm 35}{2 \cdot 2}

将解分隔开

h_{1} = \frac{- 3 + 35}{2 \cdot 2}, h_{2} = \frac{- 3 - 35}{2 \cdot 2}

h = \frac{- 3 + 35}{2 \cdot 2} : 8

h = \frac{- 3 - 35}{2 \cdot 2} : - \frac{19}{2}

二次方程组的解是:

h = 8, h = - \frac{19}{2}

作图

流行的例子

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0 = 216 x - 12 x^{2}

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