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受欢迎的代数 >

c(x)=1.2x^2-744x+123296

解答

c (x) = 1.2 x^{2} - 744 x + 123296

解答

x = \frac{7440 + 10 c + 100 c ^{2} + 148800 c - 3828480}{24}, x = \frac{7440 + 10 c - 100 c ^{2} + 148800 c - 3828480}{24}

求解步骤

c (x) = 1.2 x^{2} - 744 x + 123296

在两边乘以

10

c x \cdot 10 = 12 x^{2} - 7440 x + 1232960

交换两边

12 x^{2} - 7440 x + 1232960 = c x \cdot 10

将

c x 10

para o lado esquerdo

12 x^{2} - 7440 x + 1232960 - c x \cdot 10 = 0

改写成标准形式

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

12 x^{2} - (7440 + c \cdot 10) x + 1232960 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7440 - c \cdot 10 ) \pm ( - 7440 - c \cdot 10 ) ^{2} - 4 \cdot 12 \cdot 1232960}{2 \cdot 12}

化简

(- 7440 - c \cdot 10)^{2} - 4 \cdot 12 \cdot 1232960 : 100 c^{2} + 148800 c - 3828480

x_{1, 2} = \frac{- ( - 7440 - c \cdot 10 ) \pm 100 c ^{2} + 148800 c - 3828480}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- ( - 7440 - c \cdot 10 ) + 100 c ^{2} + 148800 c - 3828480}{2 \cdot 12}, x_{2} = \frac{- ( - 7440 - c \cdot 10 ) - 100 c ^{2} + 148800 c - 3828480}{2 \cdot 12}

x = \frac{- ( - 7440 - c 10 ) + 100 c ^{2} + 148800 c - 3828480}{2 \cdot 12} : \frac{7440 + 10 c + 100 c ^{2} + 148800 c - 3828480}{24}

x = \frac{- ( - 7440 - c 10 ) - 100 c ^{2} + 148800 c - 3828480}{2 \cdot 12} : \frac{7440 + 10 c - 100 c ^{2} + 148800 c - 3828480}{24}

二次方程组的解是:

x = \frac{7440 + 10 c + 100 c ^{2} + 148800 c - 3828480}{24}, x = \frac{7440 + 10 c - 100 c ^{2} + 148800 c - 3828480}{24}

作图

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