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受欢迎的代数 >

(3x+1)/3-(2x^2-5)/6 =(7x+4)/2

解答

\frac{3 x + 1}{3} - \frac{2 x ^{2} - 5}{6} = \frac{7 x + 4}{2}

解答

x = - \frac{15 + 185}{4}, x = - \frac{15 - 185}{4}

+1

十进制

x = - 7.15036 \dots, x = - 0.34963 \dots

求解步骤

\frac{3 x + 1}{3} - \frac{2 x ^{2} - 5}{6} = \frac{7 x + 4}{2}

找到

3, 6, 2

的最小公倍数:

6

乘以最小公倍数=

6

\frac{3 x + 1}{3} \cdot 6 - \frac{2 x ^{2} - 5}{6} \cdot 6 = \frac{7 x + 4}{2} \cdot 6

化简

2 (3 x + 1) - (2 x^{2} - 5) = 3 (7 x + 4)

展开

2 (3 x + 1) - (2 x^{2} - 5) : - 2 x^{2} + 6 x + 7

展开

3 (7 x + 4) : 21 x + 12

- 2 x^{2} + 6 x + 7 = 21 x + 12

将

12

para o lado esquerdo

- 2 x^{2} + 6 x - 5 = 21 x

将

21 x

para o lado esquerdo

- 2 x^{2} - 15 x - 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 ( - 2 ) ( - 5 )}{2 ( - 2 )}

(- 15)^{2} - 4 (- 2) (- 5) = 185

x_{1, 2} = \frac{- ( - 15 ) \pm 185}{2 ( - 2 )}

将解分隔开

x_{1} = \frac{- ( - 15 ) + 185}{2 ( - 2 )}, x_{2} = \frac{- ( - 15 ) - 185}{2 ( - 2 )}

x = \frac{- ( - 15 ) + 185}{2 ( - 2 )} : - \frac{15 + 185}{4}

x = \frac{- ( - 15 ) - 185}{2 ( - 2 )} : - \frac{15 - 185}{4}

二次方程组的解是:

x = - \frac{15 + 185}{4}, x = - \frac{15 - 185}{4}

作图

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