Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
The equation has roots and
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
The equation
4
x
2
−
2
x
+
3
=
0
4x^2 - 2x + 3 = 0
4
x
2
−
2
x
+
3
=
0
has roots
α
\alpha
α
and
β
\beta
β
. Find a quadratic equation with integer coefficients and roots
2
α
\frac{2}{\alpha}
α
2
and
2
β
\frac{2}{\beta}
β
2
.
Related theory
Polynomials
Nature and relations of roots
Algebra
Nature of roots
Relationship between zeroes and coefficients
Browse the problem library