# Tangent Curves

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Y=alpha*x^2 + alpha*x + (1/24)

x=alpha*y^2 + alpha*y + (1/24)

These are two curves.

For what values of alpha are these two curves tangent to each other.

https://brainmass.com/math/curves/tangent-curves-value-alpha-163454

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The two curves are

and

For , we have

For , we have ...

#### Solution Summary

Values are found to make two curves tangent to each other. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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