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受欢迎的代数 >

(x^2}{10}-\frac{3x)/4 =x

解答

\frac{x ^{2}}{10} - \frac{3 x}{4} = x

解答

x = \frac{35}{2}, x = 0

+1

十进制

x = 17.5, x = 0

求解步骤

\frac{x ^{2}}{10} - \frac{3 x}{4} = x

找到

10, 4

的最小公倍数:

20

乘以最小公倍数=

20

\frac{x ^{2}}{10} \cdot 20 - \frac{3 x}{4} \cdot 20 = x \cdot 20

化简

2 x^{2} - 15 x = 20 x

将

20 x

para o lado esquerdo

2 x^{2} - 35 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 35 ) \pm ( - 35 ) ^{2} - 4 \cdot 2 \cdot 0}{2 \cdot 2}

(- 35)^{2} - 4 \cdot 2 \cdot 0 = 35

x_{1, 2} = \frac{- ( - 35 ) \pm 35}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 35 ) + 35}{2 \cdot 2}, x_{2} = \frac{- ( - 35 ) - 35}{2 \cdot 2}

x = \frac{- ( - 35 ) + 35}{2 \cdot 2} : \frac{35}{2}

x = \frac{- ( - 35 ) - 35}{2 \cdot 2} : 0

二次方程组的解是:

x = \frac{35}{2}, x = 0

作图

流行的例子

quadraticformula 25n^2-15n+4=5n

q u a d r a t i c f or m u l a 25 n^{2} - 15 n + 4 = 5 n

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

2 (s^{2} + 5 s + 6) = 0

x^{2} - 36 = - 9 x

0.3+0.08x-0.0012x^2=0

0.3 + 0.08 x - 0.0012 x^{2} = 0