f(x) = -1/2x^2 -5x +4

find the value(s) of k such that the equation f(x+k)=0 has two equal real roots.

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- January 24th 2009, 07:40 AMcasey_kEqual Real Roots
f(x) = -1/2x^2 -5x +4

find the value(s) of k such that the equation f(x+k)=0 has two equal real roots. - January 24th 2009, 08:06 AMMush
- January 24th 2009, 08:29 AMJester
Problem is that no will solve this set of equations (**). If you look at the graph of , only translates the graph left and right. There will always be two real roots (never repeated). Now if the question read then we could translate up and down to get a repeated real root.