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The quadratic equation
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
The quadratic equation
a
x
2
−
6
x
+
a
−
2
=
0
ax^2-6x+a-2=0
a
x
2
−
6
x
+
a
−
2
=
0
, where
a
≠
0
a\ne0
a
=
0
, has one root that is double the other. (1) Let the roots be
α
\alpha
α
and
2
α
2\alpha
2
α
. Hence, find two equations involving
α
\alpha
α
. (2) Find
a
a
a
and the two roots of the quadratic equation.
Related theory
Solving Quadratic Equations
Quadratic Equations
Polynomials
Algebra
Nature and relations of roots
Relationship between zeroes and coefficients
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