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受欢迎的代数 >

4x^2=2(x+1)

解答

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

解答

x = 1, x = - \frac{1}{2}

+1

十进制

x = 1, x = - 0.5

求解步骤

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

展开

2 (x + 1) : 2 x + 2

4 x^{2} = 2 x + 2

将

2

para o lado esquerdo

4 x^{2} - 2 = 2 x

将

2 x

para o lado esquerdo

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

改写成标准形式

a x^{2} + b x + c = 0

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

使用求根公式求解

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

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

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

将解分隔开

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

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

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

二次方程组的解是:

x = 1, x = - \frac{1}{2}

作图

流行的例子

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so l v e f or x, x^{2} y^{2} - 2 x y - 6 = 0

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x^{2} - x - 30 = 15 - x^{2}

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