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受欢迎的 Geometry >

2x^2-8x=(4-p(x))

解答

2 x^{2} - 8 x = (4 - p (x))

解答

x = \frac{8 - p + p ^{2} - 16 p + 96}{4}, x = \frac{8 - p - p ^{2} - 16 p + 96}{4}

求解步骤

2 x^{2} - 8 x = (4 - p (x))

整理后得

2 x^{2} - 8 x = 4 - p x

将

p x

para o lado esquerdo

2 x^{2} - 8 x + p x = 4

将

4

para o lado esquerdo

2 x^{2} - 8 x + p x - 4 = 0

改写成标准形式

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

2 x^{2} + (- 8 + p) x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 + p ) \pm ( - 8 + p ) ^{2} - 4 \cdot 2 ( - 4 )}{2 \cdot 2}

化简

(- 8 + p)^{2} - 4 \cdot 2 (- 4) : p^{2} - 16 p + 96

x_{1, 2} = \frac{- ( - 8 + p ) \pm p ^{2} - 16 p + 96}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 8 + p ) + p ^{2} - 16 p + 96}{2 \cdot 2}, x_{2} = \frac{- ( - 8 + p ) - p ^{2} - 16 p + 96}{2 \cdot 2}

x = \frac{- ( - 8 + p ) + p ^{2} - 16 p + 96}{2 \cdot 2} : \frac{8 - p + p ^{2} - 16 p + 96}{4}

x = \frac{- ( - 8 + p ) - p ^{2} - 16 p + 96}{2 \cdot 2} : \frac{8 - p - p ^{2} - 16 p + 96}{4}

二次方程组的解是:

x = \frac{8 - p + p ^{2} - 16 p + 96}{4}, x = \frac{8 - p - p ^{2} - 16 p + 96}{4}

作图

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