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JEE Main20257 Apr 2025Evening ShiftMathematicsQuadratic EquationActual

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 ________.

Correct answer

0

Step-by-step solution

aligned & a+b= _ t -1⁺ ( + )= _ t -1⁺ - (t+2)^ 1 6 -1 (t+2)^ 1 7 -1 & let t+2=y & a+b= _ y 1⁺ y^ 1 / 6 -1 y^ 1 / 7 -1 = 7 6 & 72(a+b)^2=72 49 36 =98 aligned

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