Gọi hai số cần tìm là a,b
Theo đề, ta có: a/2=b/7=k
=>a=2k; b=7k
a^2+b^2=4736
=>4k^2+49k^2=4736
=>k^2=4736/53
TH1: \(k=\sqrt{\dfrac{4736}{53}}\)
=>\(a=2\sqrt{\dfrac{4736}{53}};b=7\sqrt{\dfrac{4736}{53}}\)
TH2: \(k=-\sqrt{\dfrac{4736}{53}}\)
=>\(a=-2\sqrt{\dfrac{4736}{53}};b=-7\sqrt{\dfrac{4736}{53}}\)