Let a, b … R, a … 0 be such that the equation, ax² – 2bx + 5 = 0 has a repeated root …, which is also a root of the equation, x² – 2bx – 10 = 0. If … is the other root of this equation, then …² + …² is equal to :

Option D. Roots of equation ax² – 2bx + 5 = 0 are …, ….

Quadratic Equation and Inequalities

JEE Main 2020 · 9 Jan, Evening shift · Q5056

MathematicsMedium129×since 2002Q5056

Let a, b

\in

R, a

\ne

0 be such that the equation, ax² – 2bx + 5 = 0 has a repeated root

\alpha

, which is also a root of the equation, x² – 2bx – 10 = 0. If

\beta

is the other root of this equation, then

\alpha

² +

\beta

² is equal to :