For t – 1, let _t and _t be the roots of the equation ((t+2)^ 1/7 -1 )x^2 + ((t+2)^ 1/6 -1 )x + ((t+2)^...

Question

For t > – 1, let _t and _t be the roots of the equation ((t+2)^ 1/7 -1 )x^2 + ((t+2)^ 1/6 -1 )x + ((t+2)^ 1/21 -1 ) = 0. If _ t -1^+ _t = a and _ t -1^+ _t = b, then 72(a+b)^2 is equal to _____.

Accepted Answer

98

JEE Main 2025 Mathematics question

Solution