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