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受欢迎的代数 >

15x^2-14=29x

解答

15 x^{2} - 14 = 29 x

解答

x = \frac{7}{3}, x = - \frac{2}{5}

+1

十进制

x = 2.33333 \dots, x = - 0.4

求解步骤

15 x^{2} - 14 = 29 x

将

29 x

para o lado esquerdo

15 x^{2} - 14 - 29 x = 0

改写成标准形式

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

15 x^{2} - 29 x - 14 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 29 ) \pm ( - 29 ) ^{2} - 4 \cdot 15 ( - 14 )}{2 \cdot 15}

(- 29)^{2} - 4 \cdot 15 (- 14) = 41

x_{1, 2} = \frac{- ( - 29 ) \pm 41}{2 \cdot 15}

将解分隔开

x_{1} = \frac{- ( - 29 ) + 41}{2 \cdot 15}, x_{2} = \frac{- ( - 29 ) - 41}{2 \cdot 15}

x = \frac{- ( - 29 ) + 41}{2 \cdot 15} : \frac{7}{3}

x = \frac{- ( - 29 ) - 41}{2 \cdot 15} : - \frac{2}{5}

二次方程组的解是:

x = \frac{7}{3}, x = - \frac{2}{5}

作图

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