If 2m-1/ 2m=2,, where (m≠0) then the value of m²+ 1/16m² is
Answers
Answer:
Correct option is
B
2
2m−
2m
1
=2
dividing by 2
m−
4m
1
=1
square both sides,
(m−
4m
1
)
2
⇒m
2
+
16m
1
−
2
1
=1
⇒m
2
+
16m
2
1
=1+
2
1
=
2
3
=
2
3
Then (m+
4m
1
)
2
=m
2
+
16m
2
1
+2×m×
4
1
⇒(m+
4m
1
)
2
=
2
3
+
2
1
=2
Then m+
4m
1
=
2
m
2
−
16m
2
1
=(m+
4m
1
)(m−
4m
1
)=
2
×1=
2
Correct option is
B
2
2m−
2m
1
=2
dividing by 2
m−
4m
1
=1
square both sides,
(m−
4m
1
)
2
⇒m
2
+
16m
1
−
2
1
=1
⇒m
2
+
16m
2
1
=1+
2
1
=
2
3
=
2
3
Then (m+
4m
1
)
2
=m
2
+
16m
2
1
+2×m×
4
1
⇒(m+
4m
1
)
2
=
2
3
+
2
1
=2
Then m+
4m
1
=
2
m
2
−
16m
2
1
=(m+
4m
1
)(m−
4m
1
)=
2
×1=
2
Step-by-step explanation:
Answer:
here is the required answer