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If the equations and have exactly one common root
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
If the equations
a
x
3
+
x
+
2
=
0
ax^3 + x + 2 = 0
a
x
3
+
x
+
2
=
0
and
x
3
+
a
x
+
2
=
0
x^3 + ax + 2 = 0
x
3
+
a
x
+
2
=
0
have exactly one common root, find the value of
∣
a
∣
|a|
∣
a
∣
.
Related theory
Polynomials
Functions
Factorisation of polynomials
Algebra
Relationship between zeroes and coefficients
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