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受欢迎的代数 >

solvefor y,9x^5+6y^3=5x+10x^6

解答

求解

y, 9 x^{5} + 6 y^{3} = 5 x + 10 x^{6}

解答

y = 3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}, y = - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}}{2} + \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} 3}{2} i, y = - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}}{2} - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} 3}{2} i

求解步骤

9 x^{5} + 6 y^{3} = 5 x + 10 x^{6}

将

9 x^{5}

到右边

6 y^{3} = 5 x + 10 x^{6} - 9 x^{5}

两边除以

6

y^{3} = \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}

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}

y = 3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}, y = 3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} \frac{- 1 + 3 i}{2}, y = 3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} \frac{- 1 - 3 i}{2}

化简

3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} \frac{- 1 + 3 i}{2} : - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}}{2} + \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} 3}{2} i

化简

3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} \frac{- 1 - 3 i}{2} : - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}}{2} - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} 3}{2} i

y = 3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}, y = - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}}{2} + \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} 3}{2} i, y = - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6}}{2} - \frac{3 \frac{5 x + 10 x ^{6} - 9 x ^{5}}{6} 3}{2} i

作图

流行的例子

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