QUADRATIC EQUATION. Help me Fast...!
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Answer:
Given, quadratic equation is
mx
2
−nx+k=0
Roots of the equation are tan33
o
and tan12
o
∴tan33
o
+tan12
o
=
m
n
...(i)
tan33
o
×tan12
o
=
m
k
...(ii)
value of
m
2m+n+k
is
m
2m+n+k
=
m
2m
+
m
n
+
m
k
=2+(tan33
o
+tan12
o
)+(tan33
o
×tan12
o
)...(iii)
Let (tan45
o
)=tan(33
o
+12
o
)
⇒1=
1−tan33
o
tan12
o
tan33
o
+tan12
o
⇒1−tan33
o
tan12
o
=tan33
o
+tan12
o
⇒tan33
o
+tan12
o
+tan33
o
×tan12
o
=1...(iv)
By putting the value from Eq(iv) into Eq.(iii)
m
2m+n+k
==2+1=3
Hope it helps you ✌️
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