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Find the equation of the normal to the c...

Find the equation of the normal to the curve `y=x^(3)+2x+6` which are parallel to the line `x+14y+4=0.``x^(3)+y^(3)=8xy` at the point where it meets the curve `y^(2)=4x` other than the origin.

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Find the equations of the normal to the curve y=x^3+2x+6 which are parallel to the line x+14 y+4=0.

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