Question

if x+y =7 and xy =12 the value of x2+ y2 is​

Answer 1

Step-by-step explanation:

here given data is

$x + y = 7$

$xy = 12$

Now

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

$(x + y)^{2} - 2xy = {x}^2 + {y}^{2}$

$(7)^{2} - 2(12) = {x}^{2} + {y}^{2}$

$49 - 24 = {x}^{2} + {y}^{2}$

so

${x}^{2} + {y}^{2} = 25={5}^{2}$

Answer 2

Answer:

x2 + y2 = 25

explaination :

( x+ y ) = X2+ y2 + 2xy.

( 7 ) = X2 + y2 + 24

X2 + y2 = 25.