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受欢迎的代数 >

solvefor x,y^2=Cx^3-1

解答

求解

x, y^{2} = C x^{3} - 1

解答

x = 3 \frac{y ^{2} + 1}{C}, x = - \frac{3 \frac{y ^{2} + 1}{C}}{2} + \frac{3 \frac{y ^{2} + 1}{C} 3}{2} i, x = - \frac{3 \frac{y ^{2} + 1}{C}}{2} - \frac{3 \frac{y ^{2} + 1}{C} 3}{2} i; C \neq = 0

求解步骤

y^{2} = C x^{3} - 1

交换两边

C x^{3} - 1 = y^{2}

将

1

到右边

C x^{3} = y^{2} + 1

两边除以

C; C \neq = 0

x^{3} = \frac{y ^{2} + 1}{C}; C \neq = 0

对于

x^{3} = f (a)

解为

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

x = 3 \frac{y ^{2} + 1}{C}, x = 3 \frac{y ^{2} + 1}{C} \frac{- 1 + 3 i}{2}, x = 3 \frac{y ^{2} + 1}{C} \frac{- 1 - 3 i}{2}; C \neq = 0

化简

3 \frac{y ^{2} + 1}{C} \frac{- 1 + 3 i}{2} : - \frac{3 \frac{y ^{2} + 1}{C}}{2} + \frac{3 \frac{y ^{2} + 1}{C} 3}{2} i

化简

3 \frac{y ^{2} + 1}{C} \frac{- 1 - 3 i}{2} : - \frac{3 \frac{y ^{2} + 1}{C}}{2} - \frac{3 \frac{y ^{2} + 1}{C} 3}{2} i

x = 3 \frac{y ^{2} + 1}{C}, x = - \frac{3 \frac{y ^{2} + 1}{C}}{2} + \frac{3 \frac{y ^{2} + 1}{C} 3}{2} i, x = - \frac{3 \frac{y ^{2} + 1}{C}}{2} - \frac{3 \frac{y ^{2} + 1}{C} 3}{2} i; C \neq = 0

作图

流行的例子

x^3+2x^2-23x-60=0

x^{3} + 2 x^{2} - 23 x - 60 = 0

(2 x - 1)^{5} = x^{5}

x^3-12x^2+60x-128=0

x^{3} - 12 x^{2} + 60 x - 128 = 0

solvefor I,50=pi^2EI^7

so l v e f or I, 50 = π^{2} E I^{7}

x^4-2x^2+2x+1=0

x^{4} - 2 x^{2} + 2 x + 1 = 0