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JEE Main20252 Apr 2025Morning ShiftMathematicsQuadratic EquationActual

Let P_n= ^n+ ^n, n N . If P₁₀=123, P₉=76 , P₈=47 and P₁=1 , then the quadratic equation having roots 1 and 1 is :

Options

  1. Ax^2-x+1=0
  2. Bx^2+x-1=0
  3. Cx^2-x-1=0
  4. Dx^2+x+1=0

Correct answer

B. x^2+x-1=0

Step-by-step solution

aligned & ¹⁰+ ¹⁰=123 & + =1 & ^9+ ^9=76 & ^8+ ^8=47 & P₁₀=P₉+P₈ & x^2=x+1 x^2-x-1=0 & + =1, =-1 & 1 + 1 = + = 1 -1 =-1, 1 =-1 aligned

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