Quadratic equation are equal- (p-3)x²+6x+9=0

‘Find the value of ‘p’ if the roots of the following quadratic equation are equal-
(p-3)x²+6x+9=0
(a) 4
(b) -4
(c) 3
(d) 9

Anurag Mishra Professor Asked on 8th March 2016 in Maths.
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1 Answer(s)

Answer: (a) 4 

Solution:-
(p – 3)X^2 + 6 X + 9 = 0 

Taken, option (a) 4
Then, p = 4
(4 – 3)X^2 + 6 X + 9 = 0 
X^2 + 6 X + 9 = 0 
X^2 + 3 X + 3 X + 9 = 0
X (X + 3)  + 3 (X + 3) = 0
(X + 3) (X + 3) = 0 

Then, the value of p is 4. 

Hence, the correct answer is option (a) 4. 

Anurag Mishra Professor Answered on 8th March 2016.
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