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Algebra Level 2

$(x-t_1)(x-t_3)+k(x-t_2)(x-t_4)=0$

Find the values of $k$ for which the above equation has real roots, if provided that $t_1<t_2<t_3<t_4$ .

k \in (t_1,t_2) \cup (t_3,t_4)

k \in (t_1,t_3) \cup (t_2,t_4)

No such value of

k

exists All real numbers

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by Sandeep Bhardwaj

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