Question

if $(a+b)^{2}$=293 and ab=14, what is the value of $a^{2}$+$b^{2}$?

Answer 1

$(a+b)^2=a^2+2\cdot ab+b^2\\\\293=a^2+2\cdot 14+b^2\\\\293=a^2+28+b^2\\\\a^2+b^2=293-28\\\\\boxed{a^2+b^2=265}$