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受欢迎的代数 >

solvefor x,2x^2=y(25-x^2)

解答

求解

x, 2 x^{2} = y (25 - x^{2})

解答

x = \frac{5 y}{2 + y}, x = - \frac{5 y}{2 + y}; y \neq = - 2

求解步骤

2 x^{2} = y (25 - x^{2})

将

y (25 - x^{2})

para o lado esquerdo

2 x^{2} - y (25 - x^{2}) = 0

乘开

- y (25 - x^{2}) : - 25 y + y x^{2}

2 x^{2} - 25 y + y x^{2} = 0

将

25 y

到右边

2 x^{2} + y x^{2} = 25 y

分解

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

x^{2} (2 + y) = 25 y

两边除以

2 + y; y \neq = - 2

x^{2} = \frac{25 y}{2 + y}; y \neq = - 2

对于

x^{2} = f (a)

解为

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

x = \frac{25 y}{2 + y}, x = - \frac{25 y}{2 + y}; y \neq = - 2

化简

\frac{25 y}{2 + y} : \frac{5 y}{2 + y}

化简

- \frac{25 y}{2 + y} : - \frac{5 y}{2 + y}

x = \frac{5 y}{2 + y}, x = - \frac{5 y}{2 + y}; y \neq = - 2

作图

流行的例子

t^{2} = 2 t

completesquare 16x^2-x=0

co m pl e t es q u a re 16 x^{2} - x = 0

2 x^{2} + 4 x = x^{2} + 45

solvefor x,2x^2-5x-1=0

so l v e f or x, 2 x^{2} - 5 x - 1 = 0

3 x^{2} - 15 x - x + 5 = 0