December 30, 2024
Explanation:
(c)
Let the roots of the equation be α and β.
Sum of roots, α + β = −(−𝑏)/5+√2,
Product of roots, αβ = 8+2√5/5+√2
Harmonic mean = 4
= 2αβ/α+β = 4
= αβ/α+β = 2
= 8+2√5 / 5+√2 / −(−b) 5+√2 = 2
= 8+2√5 / b = 2
= b = 2(4+√5)/2
= b = 4+√5 Ans.