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The equation of the common tangent to th...

The equation of the common tangent to the parabola `y=x^2 and y=-(x-2)^2` is

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`y=mx+c,y=x^2`
`y=-(x-2)^2`
`mx+c=x^2`
`x^2-mx-c=0`
`A=0,m^2-4c=0,m^2=4c-(2)`
`(m-4)^2=-4c-16-(1)`
from equation 1 and 2
`(m-4)^2=m^2+16`
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