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受欢迎的代数 >

2h^2=h^2+2h+17

解答

2 h^{2} = h^{2} + 2 h + 17

解答

h = 1 - 32, h = 1 + 32

+1

十进制

h = - 3.24264 \dots, h = 5.24264 \dots

求解步骤

2 h^{2} = h^{2} + 2 h + 17

交换两边

h^{2} + 2 h + 17 = 2 h^{2}

将

2 h^{2}

para o lado esquerdo

- h^{2} + 2 h + 17 = 0

使用求根公式求解

h_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 1 ) \cdot 17}{2 ( - 1 )}

2^{2} - 4 (- 1) \cdot 17 = 62

h_{1, 2} = \frac{- 2 \pm 6 2}{2 ( - 1 )}

将解分隔开

h_{1} = \frac{- 2 + 6 2}{2 ( - 1 )}, h_{2} = \frac{- 2 - 6 2}{2 ( - 1 )}

h = \frac{- 2 + 6 2}{2 ( - 1 )} : 1 - 32

h = \frac{- 2 - 6 2}{2 ( - 1 )} : 1 + 32

二次方程组的解是:

h = 1 - 32, h = 1 + 32

作图

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