Mathematics
8 Online
OpenStudy (dls):
The AM and HM of roots of a quadratic equation are 9 and 16/9 then the equation is?
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OpenStudy (jiteshmeghwal9):
the real form of a quadratic equation is\[\LARGE{ax^2-(\alpha + \beta)x+c}\]put the roots & solve it
OpenStudy (anonymous):
HM = 2ab/(a+b)
AM = a+b/2
OpenStudy (jiteshmeghwal9):
sorry i forgot c= alpha * beta
OpenStudy (anonymous):
1 st find a+b
and ab
OpenStudy (anonymous):
AM = a+b/2 = 9
a+b = 18
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OpenStudy (jiteshmeghwal9):
\[\LARGE{ax^2-\left( 9+{16 \over 9 }\right)+\left( 9 \times {16 \over 9} \right)}\]
OpenStudy (anonymous):
HM = 2ab/(a+b) = 16/9
OpenStudy (anonymous):
Find ab?
OpenStudy (anonymous):
Then....Form a quad eq..))
OpenStudy (anonymous):
u get ab = 16
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OpenStudy (anonymous):
nw fom...quad eq...))
OpenStudy (anonymous):
x^2 - (a+b)x + ab =0
OpenStudy (anonymous):
so.
x^2 - 18x + 16=0
OpenStudy (jiteshmeghwal9):
\[\LARGE{ax^2-\left( 81+16 \over 9 \right)+\left( 16 \right)}\]
OpenStudy (jiteshmeghwal9):
gt it @DLS ??
can u d it further ?
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OpenStudy (dls):
@Yahoo! thanks a lot !
@jiteshmeghwal9 your way confused me kinda sorry :/ thanks anyway! :)
OpenStudy (jiteshmeghwal9):
np :)
OpenStudy (dls):
thanks to both of you!
OpenStudy (anonymous):
welcome....
OpenStudy (anonymous):
@jiteshmeghwal9 gud..try...... u knw @DLS he is just in 8th std
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OpenStudy (anonymous):
nop..@jiteshmeghwal9 .... i said..u r in 8th......@DLS = 11 std
OpenStudy (dls):
@Yahoo! am i in VIII?
OpenStudy (dls):
lol
OpenStudy (jiteshmeghwal9):
ohhh !
OpenStudy (jiteshmeghwal9):
again mistake
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OpenStudy (dls):
haha
OpenStudy (anonymous):
hm..hm....i was not knwing that.....))
OpenStudy (jiteshmeghwal9):
hahaha!
OpenStudy (anonymous):
ur question seems to be in higher level..))
OpenStudy (jiteshmeghwal9):
nope i have tried these questions in my N.T.S.E. books :)
@Yahoo!
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OpenStudy (anonymous):
i think u may be IIT-Aspirant..))) like ur brother @jiteshmeghwal9
OpenStudy (jiteshmeghwal9):
no ! my aim is to give CAT exam :)
OpenStudy (anonymous):
hm.. @DLS wat is ur aim..))
OpenStudy (dls):
IIT JEE 2014
OpenStudy (anonymous):
u r in 11
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OpenStudy (dls):
yes
OpenStudy (jiteshmeghwal9):
best of luck both of u for ur IIT-JEE :)
OpenStudy (dls):
thanks!
OpenStudy (anonymous):
thxx...
OpenStudy (jiteshmeghwal9):
:)
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