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受欢迎的代数 >

G(x)=-3x^2+102x

解答

G (x) = - 3 x^{2} + 102 x

解答

x = 0, x = \frac{102 - G}{3}

求解步骤

G (x) = - 3 x^{2} + 102 x

整理后得

G x = - 3 x^{2} + 102 x

交换两边

- 3 x^{2} + 102 x = G x

将

G x

para o lado esquerdo

- 3 x^{2} + 102 x - G x = 0

改写成标准形式

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

- 3 x^{2} + (102 - G) x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 102 - G ) \pm ( 102 - G ) ^{2} - 4 ( - 3 ) \cdot 0}{2 ( - 3 )}

化简

(102 - G)^{2} - 4 (- 3) \cdot 0 : - G + 102

x_{1, 2} = \frac{- ( 102 - G ) \pm ( - G + 102 )}{2 ( - 3 )}

将解分隔开

x_{1} = \frac{- ( 102 - G ) - G + 102}{2 ( - 3 )}, x_{2} = \frac{- ( 102 - G ) - ( - G + 102 )}{2 ( - 3 )}

x = \frac{- ( 102 - G ) - G + 102}{2 ( - 3 )} : 0

x = \frac{- ( 102 - G ) - ( - G + 102 )}{2 ( - 3 )} : \frac{102 - G}{3}

二次方程组的解是:

x = 0, x = \frac{102 - G}{3}

作图

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