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3
3
Part of
1983 AIME Problems
Problems
(1)
Product of Roots
Source:
11/12/2005
What is the product of the real roots of the equation
x
2
+
18
x
+
30
=
2
x
2
+
18
x
+
45
?
x^2 + 18x + 30 = 2 \sqrt{x^2 + 18x + 45}\,\,?
x
2
+
18
x
+
30
=
2
x
2
+
18
x
+
45
?
algebra
polynomial
Vieta
function
domain
quadratics