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Canadian Open Math Challenge
1996 Canadian Open Math Challenge
1
1
Part of
1996 Canadian Open Math Challenge
Problems
(1)
The third root
Source:
8/15/2005
The roots of the equation
x
2
+
4
x
−
5
=
0
x^2+4x-5 = 0
x
2
+
4
x
−
5
=
0
are also the roots of the equation
2
x
3
+
9
x
2
−
6
x
−
5
=
0
2x^3+9x^2-6x-5 = 0
2
x
3
+
9
x
2
−
6
x
−
5
=
0
. What is the third root of the second equation?
quadratics
algebra
quadratic formula
polynomial
sum of roots
product of roots
Rational Root Theorem