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受欢迎的代数 >

2/3 x^2-3/2 x=0

解答

\frac{2}{3} x^{2} - \frac{3}{2} x = 0

解答

x = \frac{9}{4}, x = 0

+1

十进制

x = 2.25, x = 0

求解步骤

\frac{2}{3} x^{2} - \frac{3}{2} x = 0

找到

3, 2

的最小公倍数:

6

乘以最小公倍数=

6

\frac{2}{3} x^{2} \cdot 6 - \frac{3}{2} x \cdot 6 = 0 \cdot 6

化简

4 x^{2} - 9 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 4 \cdot 0}{2 \cdot 4}

(- 9)^{2} - 4 \cdot 4 \cdot 0 = 9

x_{1, 2} = \frac{- ( - 9 ) \pm 9}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 9 ) + 9}{2 \cdot 4}, x_{2} = \frac{- ( - 9 ) - 9}{2 \cdot 4}

x = \frac{- ( - 9 ) + 9}{2 \cdot 4} : \frac{9}{4}

x = \frac{- ( - 9 ) - 9}{2 \cdot 4} : 0

二次方程组的解是:

x = \frac{9}{4}, x = 0

作图

流行的例子

2x^2+16.38x+33.01x=0

2 x^{2} + 16.38 x + 33.01 x = 0

x^{2} = 6 x + 5

solvefor x,y^9x^2-4y^2=36

so l v e f or x, y^{9} x^{2} - 4 y^{2} = 36

因式分解 x(x-2)=24

f a c t or x (x - 2) = 24

s^2+c/m s+b/m s+k/m =0

s^{2} + \frac{c}{m} s + \frac{b}{m} s + \frac{k}{m} = 0