Question

If x -y =5 , xy =24 then the value of x^2+y^2 will be​
Full steps and explanations pls

Answer 1

x² +y² = 73

Explanation:

x - y = 5 ; xy = 24

`\sf \boxed{\bf x^2 + y^2 = (x -y)^2 + 2xy}`

= 5² + 2*24

= 25 + 48

= 73

Reason:

x² + y² = (x - y)² + 2xy

= x² + y² - 2xy + 2xy {(x - y)² = x² +y² - 2xy}

= x² + y²