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Monday, May 31, 2010

Add Math Test !!

Wow~

this time,
add math test is quite challenging~
I love add math,
Hope can do well in this exam~

here got 1 question which cannot be solved by me and CC~
any 1 can do for me ?


The quadratic equation kx2 + 7x = (5 + x )m has the roots a/2 and b/2.

Given that a+b=8 and ab=4. Find the values of k and m.

Ok anybody can help me to do?

I cant get it ~


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4 评论:

花蝴蝶~Tinge Lai said...

kx2 + 7x = (5 + x )m
x2+7/k(x)=[(5/k)+(x/k)]m
x2+7/k(x)=(5m/k)+(mx/k)
x2+7/k(x)-m/k(x)-5m/k=0
x2+[(7-m)/k](x)-5m/k=0
S.O.R=a/2+b/2
(m-7)/k=(a+b)/2
(m-7)/k=8/2
m-7=4k
m=4k+7---(1)

P.O.R=a/2*b/2
-5m/k=ab/4
-5m=4/4*k
-5m=k
From(1)
-5(4k+7)=k
-20k-35=k
-35=21k
k=-5/3#

Substitute k=-5/3 in (1)
m=4(-5/3)+7
m=(-20/3)+7
m=1/3#

i'm genius haha!!
but i'm not sure the ans are correct or not...

My Story^^ said...

OMG? Pro~!!! thx ^^ that is the answer. i got it at 1st, but i tot fraction is not correct then I change it ...so...wrong >.<

花蝴蝶~Tinge Lai said...

haha,the unknown k is with x2,
so must out fraction..
haha,
of course,i'm alwasys smart enough!
haha >o<

My Story^^ said...

haha...yaya...genius~ Keep it up ^^