X^3=540 有冇公式架 ?

2011-08-18 12:23 am
X^3=540 點計呀? 有冇公式架 ?
更新1:

X次方 = 540 為何是540自X 3次 ??? 540X540X540 = 540 ??? 原全唔明

回答 (3)

2011-08-18 5:23 am
✔ 最佳答案
x^3=540 點計呀? 有冇公式架?
Sol
x^3=540
x^3-540=0
x^3-(540^(1/3))^3=0
540^(1/3)=8.1432528
we have x^3-y^3=(x-y)(x^2+xy+y^2)
So
x^3-(540^(1/3))^3=0
x^3-8.1432528^3=0
(x-8.1432528)(x^2+8.1432528x+66.312566)=0
x=8.1432568 or x=(-8.1432568+/-√(8.1432568-4*1*66.312566))/2
x=8.1432568 or x=(-8.1432568+/-14.104534i)/2
x=8.1432568or x=-4.0716284+/-7.052267i


2011-08-18 1:06 am
x^3=540
x=8.14325285
從X里乘3次=540
2011-08-18 12:30 am
呢個係540自x3次


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