Question

If x+y=12,and xy =22,find x^2+y^2​

Answer 1

Here,

x+y=12 and xy=22

we know that,

$\tt{(x+y)^2=x^2+y^2+2xy }$ ⠀

according to the question,

$\tt{ (12)^2=x^2+y^2+2×22 }$ ⠀

$\tt{ x^2+y^2=144-44 }$ ⠀

$\tt{x^2+y^2=100 }$ ⠀

Answer 2

Answer:

$\bold{ x^2+y^2=100 }$ 

Step-by-step explanation:

In questions,

x+y=12

xy=22

so,

$\mapsto{x^2+y^2+2ab=(x+y)^2 }$      

$\mapsto{x^2+y^2+2×22=144 }$      

$\mapsto{x^2+y^2=144-44 }$      

$\mapsto{ x^2+y^2=100 }$