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受欢迎的代数 >

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

解答

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

解答

x = 5, x = - 1

求解步骤

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

展开

2 x^{2} - (x + 2)^{2} : x^{2} - 4 x - 4

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

将

1

para o lado esquerdo

x^{2} - 4 x - 5 = 0

使用求根公式求解

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

(- 4)^{2} - 4 \cdot 1 \cdot (- 5) = 6

x_{1, 2} = \frac{- ( - 4 ) \pm 6}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 6}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 6}{2 \cdot 1}

x = \frac{- ( - 4 ) + 6}{2 \cdot 1} : 5

x = \frac{- ( - 4 ) - 6}{2 \cdot 1} : - 1

二次方程组的解是:

x = 5, x = - 1

作图

流行的例子

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\frac{1}{3} = \frac{x ^{2}}{6} - \frac{x ( x + 2 )}{4}

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4 r^{2} - 5 r - 5 = 3 r

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solvefor x,x^2+y^2+z^2=z

so l v e f or x, x^{2} + y^{2} + z^{2} = z