3. If the quadratic equation 2x2 + 2x + p = 0 has equal roots then value of p is:
(a)1/3
(b)1/2
(c) 0 (d) 2
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Answer:1/2(b)
Step-by-step explanation:
discriminant d = b^2-4ac
comparing it with ax^2 +bx+c=0
we get
a=2 b=2 c=p
for equal roots d=0
b^2-4ac=0
2^2-4*2*p=0
=>4-8p=0
=>8p=4
=>p=2/8 = 1/2
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