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受欢迎的代数 >

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

解答

求解

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

解答

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

求解步骤

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

将

x^{3}

到右边

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

分解

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

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

两边除以

x - 2; x \neq = 2

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

对于

x^{2} = f (a)

解为

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

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

化简

- \frac{x ^{3}}{x - 2} : i \frac{x ^{3}}{x - 2}

化简

- - \frac{x ^{3}}{x - 2} : - i \frac{x ^{3}}{x - 2}

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

作图

流行的例子

Ax^2+2x+3=x^2-Bx+C

A x^{2} + 2 x + 3 = x^{2} - B x + C

x^{2} + 10 x + 5 = 30

x(x-9)=2+(2x+1)(x-4)

x (x - 9) = 2 + (2 x + 1) (x - 4)

x^{2} - 2 x - 7.88 = 0

solvefor x,x^2y+y^2=10

so l v e f or x, x^{2} y + y^{2} = 10