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受欢迎的代数 >

x^2+4x+4=x^2+x^2+2x+1

解答

x^{2} + 4 x + 4 = x^{2} + x^{2} + 2 x + 1

解答

x = - 1, x = 3

求解步骤

x^{2} + 4 x + 4 = x^{2} + x^{2} + 2 x + 1

整理后得

x^{2} + 4 x + 4 = 2 x^{2} + 2 x + 1

将

1

para o lado esquerdo

x^{2} + 4 x + 3 = 2 x^{2} + 2 x

将

2 x

para o lado esquerdo

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

将

2 x^{2}

para o lado esquerdo

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

使用求根公式求解

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

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

x_{1, 2} = \frac{- 2 \pm 4}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- 2 + 4}{2 ( - 1 )}, x_{2} = \frac{- 2 - 4}{2 ( - 1 )}

x = \frac{- 2 + 4}{2 ( - 1 )} : - 1

x = \frac{- 2 - 4}{2 ( - 1 )} : 3

二次方程组的解是:

x = - 1, x = 3

作图

流行的例子

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f a c t or 4 x^{2} = 5 - 8 x

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