document.write( "Question 1143840: Find k and the points of contact if the parabola y = x^2 − k touches the quartic y = x^4 at two points. \n" ); document.write( "

Algebra.Com's Answer #764758 by Alan3354(69443) $\"\"$ $\"About$

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Find k and the points of contact if the parabola y = x^2 − k touches the quartic y = x^4 at two points.
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\n" ); document.write( "The 2 curves are tangent for k = 0.25
\n" ); document.write( "They intersect for any value of k < 0.25
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\n" ); document.write( "If you mean tangent, you should say that.
\n" ); document.write( "They \"touch\" at the intersections of k < 0.25, an infinite # of points.\r
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