Let {\a}, {\b} \in {\R} be such that the equation a x^2-2 b x+15=0 has a repeated root \alpha. If \alpha and \beta are the roots of the equation x^2-2 b x+21=0, then \alpha^2+\beta^2 is equal to : [25-Jun-2022-Shift-2]

Quadratic Equation and Inequalities Part 2

Section: Mathematics

Question : 88 of 93

Marks: +1, -0

Let a,b∈R be such that the equation ax2−2bx+15=0 has a repeated root α. If α and β are the roots of the equation x2−2bx+21=0, then α2+β2 is equal to :

[25-Jun-2022-Shift-2]

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