Question

if x+z is 11 and xy is 24 then x2+y2 is equal to

​

Answer 1

Answer:

$\tt \red{given : \dag \: x + y = 11 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt \red { \dag \: xy = 24} \\ \tt \purple{too \: find :{ x}^{2} + {y}^{2} } \\ \tt \blue{solve : {x}^{2} + {y}^{2} } \\ \tt \blue{(x + y) {}^{2} - 2xy = {x }^{2} + {y}^{2} } \\ \tt \blue{(11) {}^{2} - 2(24)} \\ \tt \blue{121 - 48} \\ \tt \blue{ \boxed{73}}$