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Pls. help me in following Qeustion: Find value of 'p' for which the equation (x^2-2x)^2-(p+3)(x^2-2x)+(p-2)=0 has i) 4 real solutions ii) 3 real solutions only iii) 2 real solutions only iv) 1 real solution only v) No real solution.

Pls. help me in following Qeustion:


Find value of 'p' for which the equation (x^2-2x)^2-(p+3)(x^2-2x)+(p-2)=0 has


i) 4 real solutions
ii) 3 real solutions only
iii) 2 real solutions only
iv)   1 real solution only
v)     No real solution.

Grade:

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear student,

All you have to do is find P(2) = -5 and P(3) =1

because one value is negative and the other is positive

it must cross the Ox axis

so there is a zero between 2 and 3.

 

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Sagar Singh

B.Tech, IIT Delhi

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