33.
The common roots of the equations x12 - 1= 0 and X
3)
+ o or 02
4)
1)
2 to
2) 3 + 0, 3+ m2
JEE MAL
34.
48.
If 1
1) 21+1 cos(n7/3)
cos(nt/2)
2) 2" cos(nt/3)
4) 2n-' cos(n7/2)
sin3a + sin3b + sin 3y =
3) 21+1
1)
If a and B are the roots of x2- 2x + 4 = 0, then a" + B" =
Answers
Answered by
0
Answer:
x
3
+2x
2
+2x+1=0
(x
3
+1)+2x(x+1)=0
(x+1)(x
2
−x+1)+2x(x+1)=0
(x+1)(x
2
+x+1)=0
x=−1 and x
2
+x+1=0 implies x=w,w
2
where w and w
2
are cube roots of unity.
Now x=−1 does not satisfy the second equation,
Hence the common roots are w,w
2
,
since, w
1988
+w
130
++1=1.w
2
+1.w+1=0
and w
2×1988
+w
2×130
++1=1.w+1.w
2
+1=0. since, (w
3
=1.)
Step-by-step explanation:
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