Question

if x plus Y is equal to 12 and X Y is equal to 27 find the value of x square+ Y square​

Answer 1

Answer:

$x + y = 12 \\ xy = 27$

$now \: \: (x + y) {}^{2} = x { }^{2} + y {}^{2} + 2xy$

$substituting \: given \: values \\ 12 { }^{2} = x {}^{2} + y {}^{2} + 2(27 )$

$x { }^{2}+ y {}^{2} = 144 - 54 = 90$