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受欢迎的代数 >

220000=100000*(1+x)^3

解答

220000 = 100000 \cdot (1 + x)^{3}

解答

x = 3 \frac{11}{5} - 1, x = \frac{5 ^{\frac{2}{3}} ( - 3 11 - 2 3 5 )}{10} + i \frac{5 ^{\frac{2}{3}} 3 11 3}{10}, x = \frac{5 ^{\frac{2}{3}} ( - 3 11 - 2 3 5 )}{10} - i \frac{5 ^{\frac{2}{3}} 3 11 3}{10}

求解步骤

220000 = 100000 (1 + x)^{3}

交换两边

100000 (1 + x)^{3} = 220000

两边除以

100000

(1 + x)^{3} = \frac{11}{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

1 + x = 3 \frac{11}{5} : x = 3 \frac{11}{5} - 1

解

1 + x = 3 \frac{11}{5} \frac{- 1 + 3 i}{2} : x = \frac{5 ^{\frac{2}{3}} ( - 3 11 - 2 3 5 )}{10} + i \frac{5 ^{\frac{2}{3}} 3 11 3}{10}

解

1 + x = 3 \frac{11}{5} \frac{- 1 - 3 i}{2} : x = \frac{5 ^{\frac{2}{3}} ( - 3 11 - 2 3 5 )}{10} - i \frac{5 ^{\frac{2}{3}} 3 11 3}{10}

解为

x = 3 \frac{11}{5} - 1, x = \frac{5 ^{\frac{2}{3}} ( - 3 11 - 2 3 5 )}{10} + i \frac{5 ^{\frac{2}{3}} 3 11 3}{10}, x = \frac{5 ^{\frac{2}{3}} ( - 3 11 - 2 3 5 )}{10} - i \frac{5 ^{\frac{2}{3}} 3 11 3}{10}

作图

流行的例子

solvefor x,f=10+x^3f(27)

so l v e f or x, f = 10 + x^{3} f (27)

(x-2)^4(x+1)(x+4)=0

(x - 2)^{4} (x + 1) (x + 4) = 0

(3x-2)^3=(2-3x)^2

(3 x - 2)^{3} = (2 - 3 x)^{2}

solvefor x,a=(2x^5y^3)^3

so l v e f or x, a = (2 x^{5} y^{3})^{3}

a^{3} + 12 a - 6.5 = 0