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Question

Question: The roots of \(x < - 2\) are equal, then the value of p is....

The roots of x<2x < - 2 are equal, then the value of p is.

A

x>6x > 6

B

6<x<2- 6 < x < 2

C

2<x<62 < x < 6

D

2<x<6- 2 < x < 6

Answer

2<x<62 < x < 6

Explanation

Solution

Roots of equation x22x+4=0x^{2} - 2x + 4 = 0 are equal

a(p+q)2+2bpq+c=0a(p + q)^{2} + 2bpq + c = 0

a(p+r)2+2bpr+c=0a(p + r)^{2} + 2bpr + c = 0 36p2=16\Rightarrow 36 p ^ { 2 } = 16 p2+cap^{2} + \frac{c}{a}.