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受欢迎的代数 >

x-(x-7)^2=1+x-6x^2

解答

x - (x - 7)^{2} = 1 + x - 6 x^{2}

解答

x = \frac{- 7 + 299}{5}, x = - \frac{7 + 299}{5}

+1

十进制

x = 2.05832 \dots, x = - 4.85832 \dots

求解步骤

x - (x - 7)^{2} = 1 + x - 6 x^{2}

展开

x - (x - 7)^{2} : - x^{2} + 15 x - 49

- x^{2} + 15 x - 49 = 1 + x - 6 x^{2}

将

6 x^{2}

para o lado esquerdo

5 x^{2} + 15 x - 49 = 1 + x

将

x

para o lado esquerdo

5 x^{2} + 14 x - 49 = 1

将

1

para o lado esquerdo

5 x^{2} + 14 x - 50 = 0

使用求根公式求解

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 5 ( - 50 )}{2 \cdot 5}

1 4^{2} - 4 \cdot 5 (- 50) = 2299

x_{1, 2} = \frac{- 14 \pm 2 299}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- 14 + 2 299}{2 \cdot 5}, x_{2} = \frac{- 14 - 2 299}{2 \cdot 5}

x = \frac{- 14 + 2 299}{2 \cdot 5} : \frac{- 7 + 299}{5}

x = \frac{- 14 - 2 299}{2 \cdot 5} : - \frac{7 + 299}{5}

二次方程组的解是:

x = \frac{- 7 + 299}{5}, x = - \frac{7 + 299}{5}

作图

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