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受欢迎的代数 >

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

解答

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

解答

x = 2, x = - \frac{3}{4}

+1

十进制

x = 2, x = - 0.75

求解步骤

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

找到

6, 3

的最小公倍数:

6

乘以最小公倍数=

6

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

化简

6 + 5 x = 4 x^{2}

交换两边

4 x^{2} = 6 + 5 x

将

5 x

para o lado esquerdo

4 x^{2} - 5 x = 6

将

6

para o lado esquerdo

4 x^{2} - 5 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 4 ( - 6 )}{2 \cdot 4}

(- 5)^{2} - 4 \cdot 4 (- 6) = 11

x_{1, 2} = \frac{- ( - 5 ) \pm 11}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 5 ) + 11}{2 \cdot 4}, x_{2} = \frac{- ( - 5 ) - 11}{2 \cdot 4}

x = \frac{- ( - 5 ) + 11}{2 \cdot 4} : 2

x = \frac{- ( - 5 ) - 11}{2 \cdot 4} : - \frac{3}{4}

二次方程组的解是:

x = 2, x = - \frac{3}{4}

作图

流行的例子

8 x^{2} - 4 x - 1 = 0

x^{2} - 3 x + 1 = 1

x^2+15x+30=3x-23x-2

x^{2} + 15 x + 30 = 3 x - 23 x - 2

4 m^{2} + 5 m = 7

(x^{2} + 3 x - 2.5) = 0