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I have posted a link there to this topic so the OP can see my work.Calculus Help Please?

Find the point where the graphs of f(x)=x^3-2x and g(x)=0.5x^2-1.5

are tangent to each other; or have a common tangent line.

I'm pretty sure I have to find the derivatives of each and set them equal to eachother. Do I then just solve for x? My answer is seems weird. Can you explain how you would go about this problem please?

Thanks.