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Q.

If the expression x2−(5m−2)x+4m2+10m+25 can  be expressed as a perfect square, then m=

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a

83 or 4

b

-83 or 4

c

43 or 8

d

-43 or 8

answer is D.

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Detailed Solution

x2−(5m−2)x+4m2+10m+25 can be expressed as a  perfect square. ∴  Discriminant =0∴    (5m−2)2−44m2+10m+25=0∴    9m2−60m−96=0∴    3m2−20m−32=0∴    (3m+4)(m−8)=0∴    m=−4/3,8
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If the expression x2−(5m−2)x+4m2+10m+25 can  be expressed as a perfect square, then m=