數學qraduatic equation~~

2008-10-05 8:41 pm
唔該可唔可以幫我解答以下3題數?
2
a(i),2x +2x-1=0
2 2
(ii),2x +2ax-a =0
3 2
b,4x +5x -x =0


答案要surd form,請列明steps
更新1:

a(i) => 2x既2次 a(ii) => 2x既2次, a既2次 b => 4x既3次 , 5x既2次

回答 (1)

2008-10-05 10:04 pm
✔ 最佳答案
a(i)
2x^2 +2x - 1 = 0
x = {-2√[ 2^2 - 4(2)(-1)]} /[2(2)]
x = (-1 √3)/2
(a)(ii)
2x^2 + 2ax-a^2 = 0
x = {-2a √[(2a)^2 - 4(2)(-a^2)] }/[2(2)]
x = (-aa√3)/2
= (-1 √3)a/2
(b)
4x^3 +5x^2 - x = 0
x(4x^2 +5x - 1) = 0
x = 0 or 4x^2 +5x - 1 = 0
x= 0 or x = {-5√[5^2 - 4(4)(-1)]}/ [2(4)]
x = 0 or x = (-5√41)/8


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