Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

Let P be the sum of integral values of b in the interval [1,20] for which the equation 4^x+(1-b) 2^ x+1 +b=0 has roots of apposite sign, then the value of p 51 is equal to

Correct answer

Step-by-step solution

Let 2^ x = t ( for x 0, t 1 and for x 0, t 1) Now g(t)=t^2+2(1-b) t+b=0 Unity must be between the roots of this equation g(1) 01+2(1-b)+b 0 b 3 Possible values of b in [1, 20] are 4,5,6, . .19,20 So p=204=4

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