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Most Important Selected Qs for JEE AdvancedMathematicsTrigonometry

If the largest possible value of x such that 0 < x < satisfying the equation 2 2 x+1 x+ x = 2 is a b . Find (a+b)

Correct answer

37

Step-by-step solution

aligned 2 (( x+ x)^2-1 ) & = 2 ( x+ x) C+S & =t 2 t^2-1 & = 2 t 2 t^2- 2 t-1=0 t & = 2 2+8 4 = 2 10 4 1 2 ( x+ x) & = 2 (1- 5 ) 4 (x+ 4 ) & =- ( 5 -1 4 ) x+ 4 & = - 10 or 11 10 x & = 11 10 - 4 = 17 20 a b a+b=37 aligned

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