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受欢迎的函数 >

solvefor x,f=y^2-xy-x^2

解答

求解

x, f = y^{2} - x y - x^{2}

解答

x = - \frac{y + 5 y ^{2} - 4 f}{2}, x = - \frac{y - 5 y ^{2} - 4 f}{2}

求解步骤

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

交换两边

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

将

f

para o lado esquerdo

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

改写成标准形式

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

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

使用求根公式求解

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

化简

(- y)^{2} - 4 (- 1) (y^{2} - f) : 5 y^{2} - 4 f

x_{1, 2} = \frac{- ( - y ) \pm 5 y ^{2} - 4 f}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- ( - y ) + 5 y ^{2} - 4 f}{2 ( - 1 )}, x_{2} = \frac{- ( - y ) - 5 y ^{2} - 4 f}{2 ( - 1 )}

x = \frac{- ( - y ) + 5 y ^{2} - 4 f}{2 ( - 1 )} : - \frac{y + 5 y ^{2} - 4 f}{2}

x = \frac{- ( - y ) - 5 y ^{2} - 4 f}{2 ( - 1 )} : - \frac{y - 5 y ^{2} - 4 f}{2}

二次方程组的解是:

x = - \frac{y + 5 y ^{2} - 4 f}{2}, x = - \frac{y - 5 y ^{2} - 4 f}{2}

作图

流行的例子

extreme f(x)=x^3+2x^2+6x+6

e x t re m e f (x) = x^{3} + 2 x^{2} + 6 x + 6

extreme y=x^3(x-5)^2

e x t re m e y = x^{3} (x - 5)^{2}

extreme x/(2-x)

e x t re m e \frac{x}{2 - x}

extreme-x^2-2x+1

e x t re m e - x^{2} - 2 x + 1

extreme y=\sqrt[3]{5x^3+5}

e x t re m e y = 3 5 x^{3} + 5