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受欢迎的代数 >

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

解答

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

解答

x = \frac{1}{2}, x = \frac{1}{3}

+1

十进制

x = 0.5, x = 0.33333 \dots

求解步骤

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

在两边乘以

3

12 x^{2} - 6 (x - \frac{1}{3}) = 4 x

展开

12 x^{2} - 6 (x - \frac{1}{3}) : 12 x^{2} - 6 x + 2

12 x^{2} - 6 x + 2 = 4 x

将

4 x

para o lado esquerdo

12 x^{2} - 10 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 12 \cdot 2}{2 \cdot 12}

(- 10)^{2} - 4 \cdot 12 \cdot 2 = 2

x_{1, 2} = \frac{- ( - 10 ) \pm 2}{2 \cdot 12}

将解分隔开

x_{1} = \frac{- ( - 10 ) + 2}{2 \cdot 12}, x_{2} = \frac{- ( - 10 ) - 2}{2 \cdot 12}

x = \frac{- ( - 10 ) + 2}{2 \cdot 12} : \frac{1}{2}

x = \frac{- ( - 10 ) - 2}{2 \cdot 12} : \frac{1}{3}

二次方程组的解是:

x = \frac{1}{2}, x = \frac{1}{3}

作图

流行的例子

5 x^{2} + 17 x - 12 = 0

7 x^{2} - 16 = 0

2 x^{2} + 9 + 3 x = 5 x

x^{2} - 3 x + 20 = 0

solvefor x,x^2+y^2+z^2=0

so l v e f or x, x^{2} + y^{2} + z^{2} = 0