Find the value of p for which px^
2 + 3x + 2 = 0 has real and equal roots.
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Answer:
px
2
−8x+2p=0
here, a=p,b=−8,c=2p
For equal roots b
2
−4ac=0
or, (−8)
2
−4(p)(2p)=0
or, 64−8p
2
=0
or, −8p
2
=−64
or, 8p
2
=64
or, p
2
=
8
64
=8
or, p=±
8
=±2
2
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