Mathematics
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OpenStudy (anonymous):
find the range of x*x -5x+6>0
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hartnn (hartnn):
do you know what is the product roots formula for
\(ax^2+bx+c =0\)
?
hartnn (hartnn):
**product of roots
OpenStudy (anonymous):
c/a
hartnn (hartnn):
for \(ax^2+bx+c =0\)
product of roots = \(\large \dfrac{c}{a}\)
so for \(5x^2+14x+k=0\)
what will be the product of roots ?
hartnn (hartnn):
identify c and a for 5x^2 +14x+k
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OpenStudy (anonymous):
k/5
hartnn (hartnn):
correct!
now since , one root is reciprocal of other, their product will be 1 !!
hartnn (hartnn):
so,
get k from
k/5 =1
piece of cake :P
OpenStudy (anonymous):
what is meaning of reciprocal rootd dude
hartnn (hartnn):
ohh!
reciprocal means if one root is a, then other is 1/a !
their product = a*(1/a) =1
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OpenStudy (anonymous):
so,here they didn't tell that product of the roots are reciprocal
hartnn (hartnn):
no, roots are reciprocal
like a and 1/a
from that we got that product of roots must be 1
hence we took, c/a = k/5 = 1
hartnn (hartnn):
makes sense ?
OpenStudy (anonymous):
ya.i got it.thank u.
OpenStudy (anonymous):
may iknow from which country u r?
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hartnn (hartnn):
welcome ^_^
I am Indian :)
hartnn (hartnn):
Since you're new here,
\(\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} \)
OpenStudy (anonymous):
state?
OpenStudy (anonymous):
this is the question from oracle interview
hartnn (hartnn):
oh! best of luck for your preparations for the interview :)
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OpenStudy (anonymous):
if first term of AP is 5 .16th term is 45.find the sum of first 16
terms.
hartnn (hartnn):
know the formula for n'th term of AP and sum of terms in AP ?
OpenStudy (anonymous):
a+(n-1)d
OpenStudy (anonymous):
n(n+1)/2
hartnn (hartnn):
\(\Large S_{16} = \dfrac{16}{2}(a_1+a_{16})\)
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hartnn (hartnn):
general formula is
\(\large S_n = (n/2)(a_1 +a_n)\)
OpenStudy (anonymous):
how u got this one
hartnn (hartnn):
There are 2 formulas for the sum, the one i posted and other is :
\(\large S_n = (n/2)(2a+(n-1)d)\)
hartnn (hartnn):
since we know first and last term, using first formula is much easier and faster! :)
OpenStudy (anonymous):
this one i know
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OpenStudy (anonymous):
i studied second one in r.s.agarwal
hartnn (hartnn):
both formulas are equally important :)
OpenStudy (anonymous):
from which state u r?
hartnn (hartnn):
i messaged you
hartnn (hartnn):
It not good to disclose personal information on the internet ...
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hartnn (hartnn):
*Its
OpenStudy (anonymous):
just state only i asked u.if u have any problem leave it
hartnn (hartnn):
ok :)
OpenStudy (anonymous):
is it possible to find using second formula
hartnn (hartnn):
ofcourse!
but it would be a longer method.
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OpenStudy (anonymous):
there 15d=40
hartnn (hartnn):
correct!
OpenStudy (anonymous):
then what is the next step
hartnn (hartnn):
you have a1, and d, and n
whats stopping you from using the formula you know!
OpenStudy (anonymous):
ok
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hartnn (hartnn):
15 d =40
d= 40/15 = 8/3
OpenStudy (anonymous):
find the range of x*x -5x+6>0
hartnn (hartnn):
ask new question in new post :)
OpenStudy (anonymous):
find the range of x*x -5x+6>0