- #1
Saitama
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Homework Statement
Let ##a,b,c## and ##m \in R^{+}##. Find the range of ##m## (independent of ##a,b## and ##c##) for which at least one of the following equations, ##ax^2+bx+cm=0, bx^2+cx+am=0## and ##cx^2+ax+bm=0## have real roots.
Homework Equations
The Attempt at a Solution
I don't really know where to start. If the quadratic has real roots, the discriminant is greater than or equal to zero. This would give me three inequations for each quadratic but how should I deal with "at least" one of the equation having real roots?