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受欢迎的代数 >

solvefor y,5(y+1)^3+x^2=1

解答

求解

y, 5 (y + 1)^{3} + x^{2} = 1

解答

y = 3 \frac{1 - x ^{2}}{5} - 1, y = \frac{5 ^{\frac{2}{3}} ( - 3 1 - x ^{2} - 2 3 5 )}{10} + i \frac{5 ^{\frac{2}{3}} 3 3 1 - x ^{2}}{10}, y = \frac{5 ^{\frac{2}{3}} ( - 3 1 - x ^{2} - 2 3 5 )}{10} - i \frac{5 ^{\frac{2}{3}} 3 3 1 - x ^{2}}{10}

求解步骤

5 (y + 1)^{3} + x^{2} = 1

将

x^{2}

到右边

5 (y + 1)^{3} = 1 - x^{2}

两边除以

5

(y + 1)^{3} = \frac{1 - x ^{2}}{5}

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

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

解

y + 1 = 3 \frac{1 - x ^{2}}{5} \frac{- 1 + 3 i}{2} : y = \frac{5 ^{\frac{2}{3}} ( - 3 1 - x ^{2} - 2 3 5 )}{10} + i \frac{5 ^{\frac{2}{3}} 3 3 1 - x ^{2}}{10}

解

y + 1 = 3 \frac{1 - x ^{2}}{5} \frac{- 1 - 3 i}{2} : y = \frac{5 ^{\frac{2}{3}} ( - 3 1 - x ^{2} - 2 3 5 )}{10} - i \frac{5 ^{\frac{2}{3}} 3 3 1 - x ^{2}}{10}

解为

y = 3 \frac{1 - x ^{2}}{5} - 1, y = \frac{5 ^{\frac{2}{3}} ( - 3 1 - x ^{2} - 2 3 5 )}{10} + i \frac{5 ^{\frac{2}{3}} 3 3 1 - x ^{2}}{10}, y = \frac{5 ^{\frac{2}{3}} ( - 3 1 - x ^{2} - 2 3 5 )}{10} - i \frac{5 ^{\frac{2}{3}} 3 3 1 - x ^{2}}{10}

作图

流行的例子

0=24x^3+2x^2+x-5

0 = 24 x^{3} + 2 x^{2} + x - 5

25x^4-65x^2+36=0

25 x^{4} - 65 x^{2} + 36 = 0

24 = r^{4}

solvefor x,x^5=y^4

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

solvefor x,x^4-1+y=0

so l v e f or x, x^{4} - 1 + y = 0