exam Maths Puzzle Numerical Ability

What is the value of k for which the system:

(r^2)+(s^2)=t,
r+s+t=k

has exactly one solution (r,s,t)?

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exam Other Question

Given the functions f(x) = -x2 + 2x + 3 and g(x) = (x-2)2, find g(f(x)). Simplify to remove all parentheses.

thanks for all the help!
x=3y+7
x+y=-5