急!!!thx~中四maths~solving equations! (10points)

2007-07-07 5:45 am
1. solve the following equations. correct the answers to 3 sig.figs.if neccessary.

(a)x^4-3x^2-4=0

(b)x-4/x=2

(c)開方x-1=x-3

(d)(x+1)^2-4(x+1)-5=0

(e) { y=x^2-2x-3
  {x+y-3=0

(f) {3x^2+2y+1=0
 { 3y-4x=41

(g)3/x+1 + x+1/x+3 = 8/x^2+2x-3

(h)x + 2x/x-3 =6/x-3

如果可以, 我也希望給大家20點啊...
但...只限制了10點!!!所以麻煩大家了!!!!!!!!

回答 (2)

2007-07-07 6:14 am
✔ 最佳答案
a) Let a= x^2
a^2-3a-4=0
a=-1, 4
so x^2=-1(rej), x^2=4------=±2

b)x-4=2x
x=-4

c)x-1=x^2-6x+9
0=x^2-7x+10
x=2,5

d)Let a= x+1
just like a)

e)In x+y-3=0,
x=3-y----------------(1)
put(1) into y=x^2-2x-3
y=(3-y)^2-2(3-y)-3
y=2,3
put y=2,3 into (1)
x=1,0
so the answers are(1,2), (3,0)

f){3x^2+2y+1=0----------------(1)
 { 3y-4x=41--------------------(2)
in(2)
y=(41+4x)÷3--------(3)
(3)-->(1)
....so on
h) x+2x=6
x=2
2007-07-07 6:09 am
a)x^4-3x^2-4=0

Let y=x^2 if y<0 then there is no solution

(b)x-4/x=2

let x do not equal zero then X-4=2X

(c)開方x-1=x-3

爆開個開方佢

(d)(x+1)^2-4(x+1)-5=0

方法一爆開2次方
方法二let y=x+1 計完要y的值要-1

(e) { y=x^2-2x-3
  {x+y-3=0

用第二條公式代y=xx入第一條式
有機會有二個答案一個答案以及零個答案

(f) {3x^2+2y+1=0
 { 3y-4x=41
同e一樣

(g)3/x+1 + x+1/x+3 = 8/x^2+2x-3
二邊乘(x+1)(x+3)x^2 不過呢個係四次方方程
如果係中四有機會好似a 咁樣let y=x^2

(h)x + 2x/x-3 =6/x-3
二邊乘(x-3)就計到



我唔係好想幫人個公課不過你唔識可以教你


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