Write x2+2kx+5x^2 + 2kx + 5x2+2kx+5 in the form (x+a)2+b(x + a)^2 + b(x+a)2+b where a a\,a and b b\,b are expressions in kkk.
Hence, or otherwise, write down the coordinates of the turning point of the graph of y=x2+2kx+5y = x^2 + 2kx + 5y=x2+2kx+5
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