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受欢迎的代数 >

(x+3)^2=3x(5x-1)-3(x-2)

解答

(x + 3)^{2} = 3 x (5 x - 1) - 3 (x - 2)

解答

x = - \frac{- 6 + 78}{14}, x = \frac{6 + 78}{14}

+1

十进制

x = - 0.20226 \dots, x = 1.05941 \dots

求解步骤

(x + 3)^{2} = 3 x (5 x - 1) - 3 (x - 2)

展开

(x + 3)^{2} : x^{2} + 6 x + 9

展开

3 x (5 x - 1) - 3 (x - 2) : 15 x^{2} - 6 x + 6

x^{2} + 6 x + 9 = 15 x^{2} - 6 x + 6

将

6

para o lado esquerdo

x^{2} + 6 x + 3 = 15 x^{2} - 6 x

将

6 x

para o lado esquerdo

x^{2} + 12 x + 3 = 15 x^{2}

将

15 x^{2}

para o lado esquerdo

- 14 x^{2} + 12 x + 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 ( - 14 ) \cdot 3}{2 ( - 14 )}

1 2^{2} - 4 (- 14) \cdot 3 = 278

x_{1, 2} = \frac{- 12 \pm 2 78}{2 ( - 14 )}

将解分隔开

x_{1} = \frac{- 12 + 2 78}{2 ( - 14 )}, x_{2} = \frac{- 12 - 2 78}{2 ( - 14 )}

x = \frac{- 12 + 2 78}{2 ( - 14 )} : - \frac{- 6 + 78}{14}

x = \frac{- 12 - 2 78}{2 ( - 14 )} : \frac{6 + 78}{14}

二次方程组的解是:

x = - \frac{- 6 + 78}{14}, x = \frac{6 + 78}{14}

作图

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