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受欢迎的代数 >

solvefor x,y^3=c(y^2-x^2)

解答

求解

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

解答

x = i \frac{y ^{3} - c y ^{2}}{c}, x = - i \frac{y ^{3} - c y ^{2}}{c}; c \neq = 0

求解步骤

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

交换两边

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

两边除以

c; c \neq = 0

y^{2} - x^{2} = \frac{y ^{3}}{c}; c \neq = 0

将

y^{2}

到右边

- x^{2} = \frac{y ^{3}}{c} - y^{2}; c \neq = 0

两边除以

- 1; c \neq = 0

x^{2} = - \frac{y ^{3} - c y ^{2}}{c}; c \neq = 0

对于

x^{2} = f (a)

解为

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

x = - \frac{y ^{3} - c y ^{2}}{c}, x = - - \frac{y ^{3} - c y ^{2}}{c}; c \neq = 0

化简

- \frac{y ^{3} - c y ^{2}}{c} : i \frac{y ^{3} - c y ^{2}}{c}

化简

- - \frac{y ^{3} - c y ^{2}}{c} : - i \frac{y ^{3} - c y ^{2}}{c}

x = i \frac{y ^{3} - c y ^{2}}{c}, x = - i \frac{y ^{3} - c y ^{2}}{c}; c \neq = 0

作图

流行的例子

y = y^{2} - 56

x^{2} - 3 x - 22 = 0

- 16 t^{2} + 32 t + 2 = 0

completesquare x^2-10x+30

co m pl e t es q u a re x^{2} - 10 x + 30

0 = 9 x^{2} - 49