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Question: If the equation \(x + 2 > \sqrt{x + 4},\) has equal roots, then l, m and n satisfy....

If the equation x+2>x+4,x + 2 > \sqrt{x + 4}, has equal roots, then l, m and n satisfy.

A

x<−2x < - 2

B

x>0x > 0

C

−3<x<0- 3 < x < 0

D

−3<x<4- 3 < x < 4

Answer

x>0x > 0

Explanation

Solution

Roots are equal so p=−2,q=1p = - 2,q = 1

⇒ p=1,q=0p = 1,q = 0

⇒ p=−2,q=0p = - 2,q = 0

⇒ ix2−2(i+1)x+(2−i)=0ix^{2} - 2(i + 1)x + (2 - i) = 0

⇒ 2−i2 - i

⇒ 2+i2 + i ⇒ 2−i2 - i

⇒ l, m, n are in A.P.