write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in the standard form, ax^2 + bx + c = 0. solution: 9, only
Its bascially a formula
since only one root i.e. 9 is given, it means that the quadratic polynomial has two equal roots ie.e 9 and 9 This means that equation will have factors (x-9)(x-9) so the equation is x^2 -9x -9x +81 so the required equation is x^2 - 18x + 81
Sorry, required equation is x^2 - 18x + 91 = 0
but harkirat its a case
91?
what do u mean narender, pls explain...
3u/u^2-1 + u/u-1, simplify…
sorry again!!! required equation is x^2 - 18x + 81 = 0 PS: I am attending to too many questions simultaneously, so ....
thank you Harkirat
can you please solve the above problem too Hari?
3u/u^2-1 + u/u-1, simplify…
is it.. 3u u -------- + ------ ???? u^2 - 1 u + 1
u/ u-1 yes
ok, this is how we do it..... We use the identity \[a ^{2} - b ^{2} = (a+b)(a-b)\] 3u u 3u u 3u u -------- + ------ = ----------- + ------ = ----------- + ------- u^2 - 1 u - 1 u^2 - 1^2 u-1 (u+1)(u-1) u-1 3u + u (u+1) 3u + u^2 + u u^2 + 4u = ---------------- = -------------- = ------------ (u+1) (u-1) (u+1)(u-1) (u+1)(u-1)
I don't know if it can be simplified any further..........
perfect it can be simplified to u(u+4)/ (u-1)(u+1)
correct, actually i am dead tired now and am logging off..... It is right now 2 AM in India !!!!!!
where in INdia are you from
Its capital- Delhi !!!!
n where r u located??
I am originally from Hyderabad
I live in St Louis USA
i see..............
home schooling???
what do you do for a living Hari?
Kinda
i work in a private company and teach some students after coming back from office....
the thing on your ID, is that the golden temple?
You are so good both as a math tutor and a human being
absolutely right, I had visited it in January and this is a photo I took then...
are you into photography?
thx for saying that.....
Yeah, i have been using cameras for some 15-17 years now but mostly family photos and all wish had more liesurely life to shoot nature etc...
do you use telephoto lenses?
I have automatic cameras with zoom
I have a canon 7D and 70-200 telephoto, and a 100 macro, and 10 fish-eye
I love photography!
I guess u r a keen photographer...
ok, it is a good hobby and can become a profession too...
yes I am :)
are you married?
Yes, i hv two lovely daughters.....
how old are they?
I can send them some candy if you think its okay?
one is 15 years old and the other is 9 years...
they must be keeping you busy.
Born and raised in Delhi?
yes they do By the way what is yr real name and what standard r u in??
yes we all have been born n brought up in Delhi..
its getting late Hari, go get some sleep. Thank you once again for your time and help
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