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受欢迎的代数 >

solvefor y,x^2y+x^2-xy^2+xy+2=0

解答

求解

y, x^{2} y + x^{2} - x y^{2} + x y + 2 = 0

解答

y = - \frac{- x ^{2} - x + x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 x}, y = - \frac{- x ^{2} - x - x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 x}; x \neq = 0

求解步骤

x^{2} y + x^{2} - x y^{2} + x y + 2 = 0

改写成标准形式

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

- x y^{2} + (x^{2} + x) y + x^{2} + 2 = 0

使用求根公式求解

y_{1, 2} = \frac{- ( x ^{2} + x ) \pm ( x ^{2} + x ) ^{2} - 4 ( - x ) ( x ^{2} + 2 )}{2 ( - x )}

化简

(x^{2} + x)^{2} - 4 (- x) (x^{2} + 2) : x^{4} + 6 x^{3} + x^{2} + 8 x

y_{1, 2} = \frac{- ( x ^{2} + x ) \pm x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 ( - x )}; x \neq = 0

将解分隔开

y_{1} = \frac{- ( x ^{2} + x ) + x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 ( - x )}, y_{2} = \frac{- ( x ^{2} + x ) - x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 ( - x )}

y = \frac{- ( x ^{2} + x ) + x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 ( - x )} : - \frac{- x ^{2} - x + x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 x}

y = \frac{- ( x ^{2} + x ) - x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 ( - x )} : - \frac{- x ^{2} - x - x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 x}

二次方程组的解是:

y = - \frac{- x ^{2} - x + x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 x}, y = - \frac{- x ^{2} - x - x ^{4} + 6 x ^{3} + x ^{2} + 8 x}{2 x}; x \neq = 0

作图

流行的例子

lo g_{2} (8) = 3 x

(X + 3)^{2} = 2 X + 6

11 q + 5 \leq 49

化简 5/4*3/10

s im pl i f y \frac{5}{4} \cdot \frac{3}{10}

因式分解 a^2b-b^2c+a^2c-bc^2

f a c t or a^{2} b - b^{2} c + a^{2} c - b c^{2}