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Sarah, You aren't looking for "the quadratic formula" here (that's the thing that starts "minus b plus or minus root b squared..."), you're looking for the equation of a quadratic with these roots. A product is equal to 0 if and only if one (or more) factor(s) is equal to zero. So the quadratic must have a linear factor that is equal to 0 when X=-3 and one that's equal to 0 when X= 1/3. For what a is a + (-3) = 0? For what b is b + 1/3 = 0? Verify that (a+x)(b+x) has the properties you want. What about k(a+x)(b+x) for some nonzero k? Good Hunting! | ||||||||||||
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |