-Under the Quadratic equation (ROOTS)
Determine the possible values of k so that the roots of 4x^2kx+35=0 differ by 1
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OpenStudy (anonymous):
Is there meant be be a plus or a minus before the kx?
OpenStudy (anonymous):
yes that was what i was going to ask too!!
OpenStudy (anonymous):
If there isn't, I'm way out of my league :P
OpenStudy (anonymous):
Anyway, you'll end up with something along the lines of \[x=\frac{-k \pm \sqrt{k^2-c}}{8}\], and you need to say that the difference between the two roots (two because of the \(\pm\) sign) is 1. That should let you find k.
OpenStudy (anonymous):
\[4x^2kx+35=0 \]
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OpenStudy (anonymous):
that's the equation
OpenStudy (anonymous):
I see no way of solving it in that case!
OpenStudy (anonymous):
I feel there is a misprint in yr book. it shud be + kx + 35
OpenStudy (anonymous):
ur ryt..
\
OpenStudy (anonymous):
there is a plus sign b4 the kx
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OpenStudy (anonymous):
let me check now......
OpenStudy (anonymous):
sorry, can't seem to get it right....☺
OpenStudy (anonymous):
let the two roots be alpha and beta
alhpha + beta = -k/4
(alpha)(beta)=35/4
(alpha + beta ) ^2 = ( alpha - beta )^2 + 4(alpha)(beta)
k^2/16 = 1+35
k^2 = 36(16)
k = 6* 4 = 24
OpenStudy (anonymous):
is my anwer correct
?
OpenStudy (anonymous):
yes Abhinav yr ans is correct !!
Congrats n a medal ...☺