another biquadratic equation.....

\hspace{-16}\mathbb{F}$ ind value of $\bf{p}$ for which the eqn. $\bf{(x^2-2x)^2-(p+3)(x^2-2x)+(p-2)=0}$\\\\\\ $\bf{(i)}\;$ has $\bf{4}$ real solutions\\\\ $\bf{(ii)}\;$has $\bf{3}$ real solutions only \\\\ $\bf{(iii)}\;$has $\bf{2}$ real solutions only \\\\ $\bf{(iv)}\;$has $\bf{1}$ real solutions only \\\\ $\bf{(v)}\;$has No real solutions \\\\

2 Answers

7
Sigma ·

1) p belongs to R??

1708
man111 singh ·

1) p > -1

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