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Grade: 11

                        

If one of the roots of x 2 -bx+c=0 , (b,c belong to rational numbers) is (7-4(3) 1/2 ) 1/2 then : (A) log b c=0 (B) b+c=5 (C) log c b=0 (D) bc=-4

2 years ago

Answers : (1)

Arun
24742 Points
							
Dear student
 
when simplified
 
[7 – 4 sqrt(3)]^1/2 = 2 – sqrt (3)
 
hence another root = 2 + sqrt (3)
 
now
 
sum of roots = b = 4
 
multiplication of roots = c = 4 – 3 = 1
 
hence
 
log b c  = 0
 
b + c = 4 + 1 = 5
 
log cb is not defined
2 years ago
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