Question
The expression (x-√2)(x-√4) goes through its minima
at the value of x = a. Find the value of 2a - √2Solution
(x - √2)(x - √4) = x2 — x(√2 + 2) + 2√2 For value to be minimum, => d(x2 — x(√2 + 2) + 2√2 )/dx = 0 at x = a ⇒ 2x — √2 — 2 = 0 => x = a So, 2a —√2 = 2 ∴ 2a —√2 = 2
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