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The roots of the equation are and
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
The roots of the equation
3
x
2
+
2
x
−
4
=
0
3x^2+2x-4=0
3
x
2
+
2
x
−
4
=
0
are
α
\alpha
α
and
β
\beta
β
. Find a quadratic equation with roots: (1)
−
α
-\alpha
−
α
and
−
β
-\beta
−
β
(2)
2
α
2\alpha
2
α
and
2
β
2\beta
2
β
Related theory
Polynomials
Polynomial Functions
Nature and relations of roots
Algebra
Relationship between zeroes and coefficients
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