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受欢迎的代数 >

(3x^2)/2+4x-2/3 =0

解答

\frac{3 x ^{2}}{2} + 4 x - \frac{2}{3} = 0

解答

x = \frac{2 ( 5 - 2 )}{3}, x = - \frac{2 ( 2 + 5 )}{3}

+1

十进制

x = 0.15737 \dots, x = - 2.82404 \dots

求解步骤

\frac{3 x ^{2}}{2} + 4 x - \frac{2}{3} = 0

找到

2, 3

的最小公倍数:

6

乘以最小公倍数=

6

\frac{3 x ^{2}}{2} \cdot 6 + 4 x \cdot 6 - \frac{2}{3} \cdot 6 = 0 \cdot 6

化简

9 x^{2} + 24 x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- 24 \pm 2 4 ^{2} - 4 \cdot 9 ( - 4 )}{2 \cdot 9}

2 4^{2} - 4 \cdot 9 (- 4) = 125

x_{1, 2} = \frac{- 24 \pm 12 5}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- 24 + 12 5}{2 \cdot 9}, x_{2} = \frac{- 24 - 12 5}{2 \cdot 9}

x = \frac{- 24 + 12 5}{2 \cdot 9} : \frac{2 ( 5 - 2 )}{3}

x = \frac{- 24 - 12 5}{2 \cdot 9} : - \frac{2 ( 2 + 5 )}{3}

二次方程组的解是:

x = \frac{2 ( 5 - 2 )}{3}, x = - \frac{2 ( 2 + 5 )}{3}

作图

流行的例子

18x^2-16x-8=-16x

18 x^{2} - 16 x - 8 = - 16 x

x^{2} + 3 x - 26 = 0

d^{2} - 2 = 0

solvefor y,f=x^4y-2x^3y^2

so l v e f or y, f = x^{4} y - 2 x^{3} y^{2}

4.9 t^{2} + 9 t + 3 = 0