Progression (Sequence and Series)Medium
Question
The harmonic mean of the roots of the equation (5 + √2) x2 - (4 + √5)x + 8 + 2√5 = 0 is
Options
A.2
B.4
C.6
D.8
Solution
Let α, β be the roots of given quadratic equation. Then,
α + β =
and αβ =
Let H be the harmonic mean between α and β, then
α + β =
and αβ =
Let H be the harmonic mean between α and β, then
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