trigo + algebra

find (p) so that the given equation has real solutions

(cos p -1)x2 + (cos p)x + sin p =0

2 Answers

24
eureka123 ·

for real soln
D≥0

=> cos2p-4sinp.cosp+4sinp≥0
This is quadratic eqn in cosp
fro this to be greater than zero laways
=>D<0
=>16sin2p-16sinp<0
=>16sinp(sinp-1)<0
=> sinp ε(0,1)
=> p ε(0,π/2)
Find geenral soln urself

19
Debotosh.. ·

correct,i think!!!

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