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受欢迎的代数 >

solvefor y,u=x^3-3x*y^2+3x^2-2y^2+2x+1

解答

求解

y, u = x^{3} - 3 x \cdot y^{2} + 3 x^{2} - 2 y^{2} + 2 x + 1

解答

y = i \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}, y = - i \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}; x \neq = - \frac{2}{3}

求解步骤

u = x^{3} - 3 x y^{2} + 3 x^{2} - 2 y^{2} + 2 x + 1

交换两边

x^{3} - 3 x y^{2} + 3 x^{2} - 2 y^{2} + 2 x + 1 = u

将

x^{3}

到右边

- 3 x y^{2} + 3 x^{2} - 2 y^{2} + 2 x + 1 = u - x^{3}

将

3 x^{2}

到右边

- 3 x y^{2} - 2 y^{2} + 2 x + 1 = u - x^{3} - 3 x^{2}

将

2 x

到右边

- 3 x y^{2} - 2 y^{2} + 1 = u - x^{3} - 3 x^{2} - 2 x

将

1

到右边

- 3 x y^{2} - 2 y^{2} = u - x^{3} - 3 x^{2} - 2 x - 1

分解

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

- y^{2} (3 x + 2) = u - x^{3} - 3 x^{2} - 2 x - 1

两边除以

- (3 x + 2); x \neq = - \frac{2}{3}

y^{2} = - \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}; x \neq = - \frac{2}{3}

对于

x^{2} = f (a)

解为

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

y = - \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}, y = - - \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}; x \neq = - \frac{2}{3}

化简

- \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x} : i \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}

化简

- - \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x} : - i \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}

y = i \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}, y = - i \frac{u - x ^{3} - 3 x ^{2} - 2 x - 1}{2 + 3 x}; x \neq = - \frac{2}{3}

作图

流行的例子

solvefor x,z=8-x^2-y^2

so l v e f or x, z = 8 - x^{2} - y^{2}

12 x^{2} + 13 x + 3 = 0

[x^{2} - 1] = - 1

solvefor x,(y^1)^1-5y^1+6y=e^3x-x^2

so l v e f or x, (y^{1})^{1} - 5 y^{1} + 6 y = e^{3} x - x^{2}

x_{x}^{2} - 6 = 0