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受欢迎的代数 >

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

解答

求解

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

解答

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

求解步骤

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

交换两边

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

两边除以

c; c \neq = 0

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

将

t^{2}

到右边

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

两边除以

- 1; c \neq = 0

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

对于

x^{2} = f (a)

解为

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

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

化简

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

化简

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

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

作图

流行的例子

solvefor b,6c^2+6=cb^2

so l v e f or b, 6 c^{2} + 6 = c b^{2}

2 x^{2} - 7 = 113

x^{2} + 12 x + 9 = - 5

0 = x^{2} + 7 x + 6

2 + 5 x - 10 x^{2} = 0