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受欢迎的代数 >

12x^2+12=25x

解答

12 x^{2} + 12 = 25 x

解答

x = \frac{4}{3}, x = \frac{3}{4}

+1

十进制

x = 1.33333 \dots, x = 0.75

求解步骤

12 x^{2} + 12 = 25 x

将

25 x

para o lado esquerdo

12 x^{2} + 12 - 25 x = 0

改写成标准形式

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

12 x^{2} - 25 x + 12 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 25 ) \pm ( - 25 ) ^{2} - 4 \cdot 12 \cdot 12}{2 \cdot 12}

(- 25)^{2} - 4 \cdot 12 \cdot 12 = 7

x_{1, 2} = \frac{- ( - 25 ) \pm 7}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- ( - 25 ) + 7}{2 \cdot 12}, x_{2} = \frac{- ( - 25 ) - 7}{2 \cdot 12}

x = \frac{- ( - 25 ) + 7}{2 \cdot 12} : \frac{4}{3}

x = \frac{- ( - 25 ) - 7}{2 \cdot 12} : \frac{3}{4}

二次方程组的解是:

x = \frac{4}{3}, x = \frac{3}{4}

作图

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