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受欢迎的代数 >

solvefor x,3y^2=(2x+3)^3

解答

求解

x, 3 y^{2} = (2 x + 3)^{3}

解答

x = \frac{3 3 3 y ^{2} - 3}{2}, x = \frac{- 6 - 3 3 3 y ^{2}}{4} + i \frac{3 ^{\frac{5}{6}} 3 y ^{2}}{4}, x = \frac{- 6 - 3 3 3 y ^{2}}{4} - i \frac{3 ^{\frac{5}{6}} 3 y ^{2}}{4}

求解步骤

3 y^{2} = (2 x + 3)^{3}

交换两边

(2 x + 3)^{3} = 3 y^{2}

对于

g^{3} (x) = f (a)

解为

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

解

2 x + 3 = 3 3 y^{2} : x = \frac{3 3 3 y ^{2} - 3}{2}

解

2 x + 3 = 3 3 y^{2} \frac{- 1 + 3 i}{2} : x = \frac{- 6 - 3 3 3 y ^{2}}{4} + i \frac{3 ^{\frac{5}{6}} 3 y ^{2}}{4}

解

2 x + 3 = 3 3 y^{2} \frac{- 1 - 3 i}{2} : x = \frac{- 6 - 3 3 3 y ^{2}}{4} - i \frac{3 ^{\frac{5}{6}} 3 y ^{2}}{4}

解为

x = \frac{3 3 3 y ^{2} - 3}{2}, x = \frac{- 6 - 3 3 3 y ^{2}}{4} + i \frac{3 ^{\frac{5}{6}} 3 y ^{2}}{4}, x = \frac{- 6 - 3 3 3 y ^{2}}{4} - i \frac{3 ^{\frac{5}{6}} 3 y ^{2}}{4}

作图

流行的例子

2 x^{3} = 388

- 5 x^{3} + 35 x - 30 = 0

solvefor x,y-2x^4y^5=-1

so l v e f or x, y - 2 x^{4} y^{5} = - 1

s^4+4s^3+6s^2+4s+1=0

s^{4} + 4 s^{3} + 6 s^{2} + 4 s + 1 = 0

x^{3} - 4 x + 1 = 0