#Discriminant Proof Question

5 messages · Page 1 of 1 (latest)

tiny venture
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I have a proof question here. That states: 1/x = 1/a + 1/b, show there are no values for a and b that agree with x = a + b.

I think I need to re-arrange the first equation to be equal to 0, then find the discriminant, which would be less than 0. But, not sure how.

iron wraith
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substitute x=a+b, manipulate in order to get a quadratic equation for a/b

tiny venture
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Are you saying sub in a+b to x and then re arrange for a/b