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受欢迎的代数 >

pi*r^3= 1/4

解答

π \cdot r^{3} = \frac{1}{4}

解答

r = 3 \frac{1}{4 π}, r = - \frac{4 ^{\frac{2}{3}} π ^{\frac{2}{3}}}{8 π} + i \frac{4 ^{\frac{2}{3}} 3 π ^{\frac{2}{3}}}{8 π}, r = - \frac{4 ^{\frac{2}{3}} π ^{\frac{2}{3}}}{8 π} - i \frac{4 ^{\frac{2}{3}} 3 π ^{\frac{2}{3}}}{8 π}

求解步骤

π r^{3} = \frac{1}{4}

两边除以

π

r^{3} = \frac{1}{4 π}

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}

r = 3 \frac{1}{4 π}, r = 3 \frac{1}{4 π} \frac{- 1 + 3 i}{2}, r = 3 \frac{1}{4 π} \frac{- 1 - 3 i}{2}

化简

3 \frac{1}{4 π} \frac{- 1 + 3 i}{2} : - \frac{4 ^{\frac{2}{3}} π ^{\frac{2}{3}}}{8 π} + i \frac{4 ^{\frac{2}{3}} 3 π ^{\frac{2}{3}}}{8 π}

化简

3 \frac{1}{4 π} \frac{- 1 - 3 i}{2} : - \frac{4 ^{\frac{2}{3}} π ^{\frac{2}{3}}}{8 π} - i \frac{4 ^{\frac{2}{3}} 3 π ^{\frac{2}{3}}}{8 π}

r = 3 \frac{1}{4 π}, r = - \frac{4 ^{\frac{2}{3}} π ^{\frac{2}{3}}}{8 π} + i \frac{4 ^{\frac{2}{3}} 3 π ^{\frac{2}{3}}}{8 π}, r = - \frac{4 ^{\frac{2}{3}} π ^{\frac{2}{3}}}{8 π} - i \frac{4 ^{\frac{2}{3}} 3 π ^{\frac{2}{3}}}{8 π}

作图

流行的例子

c^3-5c^2+7c-109=0

c^{3} - 5 c^{2} + 7 c - 109 = 0

solvefor x,f=5x^3+1f(-8)

so l v e f or x, f = 5 x^{3} + 1 f (- 8)

-12=5(6x^4)7(x^6)

- 12 = 5 (6 x^{4}) 7 (x^{6})

(x + 1)^{3} - 27 = 0

x^{3} + x^{2} = 6 x