These guys are increasingly same

Algebra Level 2

(xt1)(xt3)+k(xt2)(xt4)=0(x-t_1)(x-t_3)+k(x-t_2)(x-t_4)=0

Find the values of kk for which the above equation has real roots, if provided that t1<t2<t3<t4t_1<t_2<t_3<t_4.

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