zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

solvefor x,x^2y+xy^2=6

解答

求解

x, x^{2} \cdot y + x \cdot y^{2} = 6

解答

x = \frac{- y ^{2} + y ^{4} + 24 y}{2 y}, x = \frac{- y ^{2} - y ^{4} + 24 y}{2 y}; y \neq = 0

求解步骤

x^{2} y + x y^{2} = 6

将

6

para o lado esquerdo

x^{2} y + x y^{2} - 6 = 0

改写成标准形式

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

y x^{2} + y^{2} x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- y ^{2} \pm ( y ^{2} ) ^{2} - 4 y ( - 6 )}{2 y}

化简

(y^{2})^{2} - 4 y (- 6) : y^{4} + 24 y

x_{1, 2} = \frac{- y ^{2} \pm y ^{4} + 24 y}{2 y}; y \neq = 0

将解分隔开

x_{1} = \frac{- y ^{2} + y ^{4} + 24 y}{2 y}, x_{2} = \frac{- y ^{2} - y ^{4} + 24 y}{2 y}

x = \frac{- y ^{2} + y ^{4} + 24 y}{2 y}; y \neq = 0

x = \frac{- y ^{2} - y ^{4} + 24 y}{2 y}; y \neq = 0

二次方程组的解是:

x = \frac{- y ^{2} + y ^{4} + 24 y}{2 y}, x = \frac{- y ^{2} - y ^{4} + 24 y}{2 y}; y \neq = 0

作图

流行的例子

1 x^{2} + 6 x = 9

solvefor y,18y^2=(x-4)*(x-10)^2

so l v e f or y, 18 y^{2} = (x - 4) \cdot (x - 10)^{2}

7 x^{2} - 12 x + 18 = 0

a^2*(x-b)-b^2*(x-a)=x^2(a-b)

a^{2} \cdot (x - b) - b^{2} \cdot (x - a) = x^{2} (a - b)

solvefor x,6x^2-xy-12y^2-8x+29y-14=0

so l v e f or x, 6 x^{2} - x y - 12 y^{2} - 8 x + 29 y - 14 = 0