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The equation has roots ,
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
The equation
a
x
4
−
3
x
3
−
13
x
2
+
37
x
+
c
=
0
ax^4 - 3x^3 - 13x^2 + 37x + c = 0
a
x
4
−
3
x
3
−
13
x
2
+
37
x
+
c
=
0
has roots
1
2
\frac{1}{2}
2
1
,
−
3
-3
−
3
,
2
+
i
2 + i
2
+
i
and
2
−
i
2 - i
2
−
i
. Find the values of
a
a
a
and
c
c
c
.
Related theory
Algebra of Complex Numbers
Complex Numbers
Polynomials
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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