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Question-186544




Question Number 186544 by ajfour last updated on 05/Feb/23
Commented by ajfour last updated on 05/Feb/23
If the cubic curve is  y=x^3 −x−c  with, 0<c<(2/(3(√3)))  ; and   the parabola be  y=(x−h)^2   Then find h.
$${If}\:{the}\:{cubic}\:{curve}\:{is}\:\:{y}={x}^{\mathrm{3}} −{x}−{c} \\ $$$${with},\:\mathrm{0}<{c}<\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}\:\:;\:{and}\: \\ $$$${the}\:{parabola}\:{be}\:\:{y}=\left({x}−{h}\right)^{\mathrm{2}} \\ $$$${Then}\:{find}\:{h}. \\ $$

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