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受欢迎的代数 >

5.3*10^{-9}=(y)(2y)^2

解答

5.3 \cdot 1 0^{- 9} = (y) (2 y)^{2}

解答

y = \frac{3 \frac{53}{10}}{3 4000000000}, y = \frac{3 \frac{53}{10} ( - \frac{1}{2} + \frac{3}{2} i )}{3 4000000000}, y = \frac{3 \frac{53}{10} ( - \frac{1}{2} - \frac{3}{2} i )}{3 4000000000}

求解步骤

5.3 \cdot 1 0^{- 9} = (y) (2 y)^{2}

交换两边

(y) (2 y)^{2} = 5.3 \cdot 1 0^{- 9}

化简

4 y^{3} = \frac{5.3}{1000000000}

两边除以

4

\frac{4 y ^{3}}{4} = \frac{\frac{5.3}{1000000000}}{4}

y^{3} = \frac{5.3}{4000000000}

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{5.3}{4000000000}, y = 3 \frac{5.3}{4000000000} \frac{- 1 + 3 i}{2}, y = 3 \frac{5.3}{4000000000} \frac{- 1 - 3 i}{2}

3 \frac{5.3}{4000000000} = \frac{3 \frac{53}{10}}{3 4000000000}

化简

3 \frac{5.3}{4000000000} \frac{- 1 + 3 i}{2} : \frac{3 \frac{53}{10} ( - \frac{1}{2} + \frac{3}{2} i )}{3 4000000000}

化简

3 \frac{5.3}{4000000000} \frac{- 1 - 3 i}{2} : \frac{3 \frac{53}{10} ( - \frac{1}{2} - \frac{3}{2} i )}{3 4000000000}

y = \frac{3 \frac{53}{10}}{3 4000000000}, y = \frac{3 \frac{53}{10} ( - \frac{1}{2} + \frac{3}{2} i )}{3 4000000000}, y = \frac{3 \frac{53}{10} ( - \frac{1}{2} - \frac{3}{2} i )}{3 4000000000}

作图

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