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Question: If both roots of equation x<sup>2</sup> – ax – 8 = 0 lie in interval (– 2, 2) then set of all values...

If both roots of equation x2 – ax – 8 = 0 lie in interval (– 2, 2) then set of all values of a is

A

(0, 5)

B

(– ∞, 2)

C

(- , – 2)

D

f

Answer

f

Explanation

Solution

Use following conditions

(i) D ³ 0

(ii) f(–2) > 0

(iii) f(2) > 0

(iv) – 2 < a2\frac{a}{2}< 2