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If a is not = b,but a^2 = 5a – 3, b^2 = 5b –3, then the equation having a/b and b/a as its roots is – (A) 3x^2 – 25x + 3 = 0 (B) x^2 + 5x – 3 = 0 (C) x^2 – 5x + 3 = 0 (D) 3x^2 – 19x + 3 = 0

 If a is not = b,but a^2 = 5a – 3, b^2 = 5b –3, then the equation having a/b and b/a as its roots is – 
(A) 3x^2 – 25x + 3 = 0 
(B) x^2 + 5x – 3 = 0 
(C) x^2 – 5x + 3 = 0
 (D) 3x^2 – 19x + 3 = 0

Grade:12th pass

1 Answers

Aditya Gupta
2075 Points
2 years ago
Obviously a and b are roots of the equation
x^2-5x+3=0
Now a+b=5 and ab=3
Also, a/b+b/a= (a^2+b^2)/ab= (a+b)^2/ab - 2= 25/3-2= 19/3 and a/b*b/a= 1.
So equation whose roots are a/b and b/a is
x^2-19x/3+1=0
Or 3x^2-19x+3=0

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