Let p,q be integers and let α and β be the roots of the equation x^2-x+1=0, where \alpha\neq\beta. For n = 0, 1, 2, …,let a_n=p\alpha^n+q^n, FACT :If a and b are rational numbers and a+b\sqrt5=0, then a=0=b If a_4=28,the p+2q= [JEE Adv 2017 P2]

Quadratic Equation and Inequalities

Section: Mathematics

Question : 8 of 23

Marks: +1, -0

Let p,q be integers and let α and β be the roots of the equation x2−x+1=0, where α≠β. For n = 0, 1, 2, …,let an=pαn+qn,
FACT:If a and b are rational numbers and a+b√5=0, then a=0=b

If a4=28,the p+2q=

[JEE Adv 2017 P2]

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