Question

f(x)=-2x+4

Determinati a,b pentru care a la puterea 2 + b la puterea 2 + f(a) + 2f(b) - 7=0

Answer 1

[tex]a^2+b^2+f(a)+2\cdot f(b)-7=0\\ a^2+b^2-2\cdot a+4-4\cdot b+8-7=0\\ (a^2-2\cdot a+1)+(b^2-4\cdot b+4)=0\\ (a-1)^2+(b-2)^2=0\\ Deoarece\ (a-1)^2\geq 0\ si\ (b-2)^2\geq 0\ implica\ faptul\ ca\ amandoua\\ sunt\ 0.\\ \left \{ {{a-1=0} \atop {b-2=0}} \right. \Leftrightarrow \left \{ {{a=1} \atop {b=2}} \right. [/tex]

Answer 2

sper sa te ajute...........