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受欢迎的代数 >

solvefor y,x^3-x*y^2+3y^2+2=0

解答

求解

y, x^{3} - x \cdot y^{2} + 3 y^{2} + 2 = 0

解答

y = \frac{- x ^{3} - 2}{- x + 3}, y = - \frac{- x ^{3} - 2}{- x + 3}; x \neq = 3

求解步骤

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

将

x^{3}

到右边

- x y^{2} + 3 y^{2} + 2 = - x^{3}

将

2

到右边

- x y^{2} + 3 y^{2} = - x^{3} - 2

分解

- x y^{2} + 3 y^{2} : y^{2} (- x + 3)

y^{2} (- x + 3) = - x^{3} - 2

两边除以

- x + 3; x \neq = 3

y^{2} = \frac{- x ^{3} - 2}{- x + 3}; x \neq = 3

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

y = \frac{- x ^{3} - 2}{- x + 3}, y = - \frac{- x ^{3} - 2}{- x + 3}; x \neq = 3

作图

流行的例子

solvefor x,f(1+x)(x-5)=y

so l v e f or x, f (1 + x) (x - 5) = y

4x^2-2(a^2+b^2)x+a^2b^2=0

4 x^{2} - 2 (a^{2} + b^{2}) x + a^{2} b^{2} = 0

solvefor x,f(x+5)=x^2+4x+3

so l v e f or x, f (x + 5) = x^{2} + 4 x + 3

(k-12)*x^2+2(k-12)x+2=0

(k - 12) \cdot x^{2} + 2 (k - 12) x + 2 = 0

3 x^{2} + 2 x - 128 = 0