Question

Si: a - b=√("26" ) y ab = -5. Calcular: a2 + b2

Answer 1

${(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ {( \sqrt{26}) }^{2} = {a}^{2} + {b}^{2} - 2( - 5) \\ 26 = {a}^{2} + {b}^{2} + 10 \\ 16 = {a}^{2} + {b}^{2}$