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受欢迎的代数 >

c(x)=2x^{(2)}-188x+78

解答

c (x) = 2 x^{(2)} - 188 x + 78

解答

x = \frac{188 + c + c ^{2} + 376 c + 34720}{4}, x = \frac{188 + c - c ^{2} + 376 c + 34720}{4}

求解步骤

c (x) = 2 x^{(2)} - 188 x + 78

整理后得

c x = 2 x^{2} - 188 x + 78

交换两边

2 x^{2} - 188 x + 78 = c x

将

c x

para o lado esquerdo

2 x^{2} - 188 x + 78 - c x = 0

改写成标准形式

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

2 x^{2} - (188 + c) x + 78 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 188 - c ) \pm ( - 188 - c ) ^{2} - 4 \cdot 2 \cdot 78}{2 \cdot 2}

化简

(- 188 - c)^{2} - 4 \cdot 2 \cdot 78 : c^{2} + 376 c + 34720

x_{1, 2} = \frac{- ( - 188 - c ) \pm c ^{2} + 376 c + 34720}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 188 - c ) + c ^{2} + 376 c + 34720}{2 \cdot 2}, x_{2} = \frac{- ( - 188 - c ) - c ^{2} + 376 c + 34720}{2 \cdot 2}

x = \frac{- ( - 188 - c ) + c ^{2} + 376 c + 34720}{2 \cdot 2} : \frac{188 + c + c ^{2} + 376 c + 34720}{4}

x = \frac{- ( - 188 - c ) - c ^{2} + 376 c + 34720}{2 \cdot 2} : \frac{188 + c - c ^{2} + 376 c + 34720}{4}

二次方程组的解是:

x = \frac{188 + c + c ^{2} + 376 c + 34720}{4}, x = \frac{188 + c - c ^{2} + 376 c + 34720}{4}

作图

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