The harmonic mean of the roots of the equation is
(7 + √3) x2 - (6 + √7) x + (12 + 2√7 ) = 0
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Step-by-step explanation:
The harmonic mean of the roots of the equation is
(7 + √3) x2 - (6 + √7) x + (12 + 2√7 ) = 0
(7 + √3) x² - (6 + √7) x + (12 + 2√7 ) = 0
Let say α β are roots
α + β = =-b/a = - (-(6 + √7))/(7 + √3) = (6 + √7))/(7 + √3) sum of roots
αβ = c/a = (12 + 2√7 ) /(7 + √3)
HM of α β = 2αβ/(α + β)
= 2 ( (12 + 2√7 ) /(7 + √3) ) / (6 + √7))/(7 + √3)
= 2 * 2 (6 + √7 ) /(6 + √7)
= 4
The harmonic mean of the roots of the equation = 4
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