恆等式 [唔識做]

2008-10-21 4:34 am
我老師做個題:
(x-2)(x-4)≡ax^2+bx+c
x(x-4)-2(x-4)≡ax^2+bx+c
x^2-4x-2x+8≡ax^2+bc+c
x^2-6x+8≡ax^2+bx+c

by comparing coeft of x^2
a=1

by comparing coeft of x
b=6

by comparing coeft of constant
c=8

咁喱2題應該點做?
2x-8≡ax+b

ax+5≡b-7x

回答 (3)

2008-10-21 4:43 am
✔ 最佳答案
2x-8≡ax+b
by comparing coeft of x
a=2//
by comparing coeft of constant
b=-8//
ax+5≡b-7x
by comparing coeft of x
a=-7//
by comparing coeft of constant
b=5//
2008-10-21 5:00 am
2x-8≡ax+b

a=2,b=-8

ax+5≡b-7x

a=-7,b=5
2008-10-21 4:52 am
2x-8≡ax+b
L.H.S.=2x-8
∵L.H.S=R.H.S
∴When comparing like terms on L.H.S and R.H.S., we have a=2;b=-8//

ax+5≡b-7x
L.H.S.=ax+5
R.H.S.=b-7x
=-(-7x+b)
=7x-b
∵L.H.S=R.H.S
∴When comparing like terms on L.H.S and R.H.S., we have a=7;-b=5//

2008-10-20 20:52:46 補充:
呢個方法簡單D..
參考: MATHS書


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