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受欢迎的代数 >

45=30(1+x)^3

解答

45 = 30 (1 + x)^{3}

解答

x = 3 \frac{3}{2} - 1, x = \frac{2 ^{\frac{2}{3}} ( - 3 3 - 2 3 2 )}{4} + i \frac{2 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}}}{4}, x = \frac{2 ^{\frac{2}{3}} ( - 3 3 - 2 3 2 )}{4} - i \frac{2 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}}}{4}

求解步骤

45 = 30 (1 + x)^{3}

交换两边

30 (1 + x)^{3} = 45

两边除以

30

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

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{3}{2} : x = 3 \frac{3}{2} - 1

解

1 + x = 3 \frac{3}{2} \frac{- 1 + 3 i}{2} : x = \frac{2 ^{\frac{2}{3}} ( - 3 3 - 2 3 2 )}{4} + i \frac{2 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}}}{4}

解

1 + x = 3 \frac{3}{2} \frac{- 1 - 3 i}{2} : x = \frac{2 ^{\frac{2}{3}} ( - 3 3 - 2 3 2 )}{4} - i \frac{2 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}}}{4}

解为

x = 3 \frac{3}{2} - 1, x = \frac{2 ^{\frac{2}{3}} ( - 3 3 - 2 3 2 )}{4} + i \frac{2 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}}}{4}, x = \frac{2 ^{\frac{2}{3}} ( - 3 3 - 2 3 2 )}{4} - i \frac{2 ^{\frac{2}{3}} \cdot 3 ^{\frac{5}{6}}}{4}

作图

流行的例子

60x^4-180x^3+120x^2=0

60 x^{4} - 180 x^{3} + 120 x^{2} = 0

x(x+2)(x-3)+3=0

x (x + 2) (x - 3) + 3 = 0

x^3-16x^2+64x=0

x^{3} - 16 x^{2} + 64 x = 0

16x^4-145x^2+324=0

16 x^{4} - 145 x^{2} + 324 = 0

solvefor x,x^3-5x+1=-0.8

so l v e f or x, x^{3} - 5 x + 1 = - 0.8