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受欢迎的代数 >

(x^2-1)/2 =(4x)/3

解答

\frac{x ^{2} - 1}{2} = \frac{4 x}{3}

解答

x = 3, x = - \frac{1}{3}

+1

十进制

x = 3, x = - 0.33333 \dots

求解步骤

\frac{x ^{2} - 1}{2} = \frac{4 x}{3}

找到

2, 3

的最小公倍数:

6

乘以最小公倍数=

6

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

化简

3 (x^{2} - 1) = 8 x

展开

3 (x^{2} - 1) : 3 x^{2} - 3

3 x^{2} - 3 = 8 x

将

8 x

para o lado esquerdo

3 x^{2} - 3 - 8 x = 0

改写成标准形式

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

3 x^{2} - 8 x - 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 3 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 3) = 10

x_{1, 2} = \frac{- ( - 8 ) \pm 10}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 10}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 10}{2 \cdot 3}

x = \frac{- ( - 8 ) + 10}{2 \cdot 3} : 3

x = \frac{- ( - 8 ) - 10}{2 \cdot 3} : - \frac{1}{3}

二次方程组的解是:

x = 3, x = - \frac{1}{3}

作图

流行的例子

solvefor x,4x^2=9x-2

so l v e f or x, 4 x^{2} = 9 x - 2

x^{2} + 40 = 14 x

2 x^{2} = 400

4 x^{2} - 20 x + 25 = 16

2x^2+7x=(10x-7)(2x+7)

2 x^{2} + 7 x = (10 x - 7) (2 x + 7)