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受欢迎的代数 >

c(x)=40x^2+500x+50

解答

c (x) = 40 x^{2} + 500 x + 50

解答

x = \frac{- 500 + c + c ^{2} - 1000 c + 242000}{80}, x = \frac{- 500 + c - c ^{2} - 1000 c + 242000}{80}

求解步骤

c (x) = 40 x^{2} + 500 x + 50

整理后得

c x = 40 x^{2} + 500 x + 50

交换两边

40 x^{2} + 500 x + 50 = c x

将

c x

para o lado esquerdo

40 x^{2} + 500 x + 50 - c x = 0

改写成标准形式

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

40 x^{2} + (500 - c) x + 50 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 500 - c ) \pm ( 500 - c ) ^{2} - 4 \cdot 40 \cdot 50}{2 \cdot 40}

化简

(500 - c)^{2} - 4 \cdot 40 \cdot 50 : c^{2} - 1000 c + 242000

x_{1, 2} = \frac{- ( 500 - c ) \pm c ^{2} - 1000 c + 242000}{2 \cdot 40}

将解分隔开

x_{1} = \frac{- ( 500 - c ) + c ^{2} - 1000 c + 242000}{2 \cdot 40}, x_{2} = \frac{- ( 500 - c ) - c ^{2} - 1000 c + 242000}{2 \cdot 40}

x = \frac{- ( 500 - c ) + c ^{2} - 1000 c + 242000}{2 \cdot 40} : \frac{- 500 + c + c ^{2} - 1000 c + 242000}{80}

x = \frac{- ( 500 - c ) - c ^{2} - 1000 c + 242000}{2 \cdot 40} : \frac{- 500 + c - c ^{2} - 1000 c + 242000}{80}

二次方程组的解是:

x = \frac{- 500 + c + c ^{2} - 1000 c + 242000}{80}, x = \frac{- 500 + c - c ^{2} - 1000 c + 242000}{80}

作图

流行的例子

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