Question

13.If x+y=8 and xy=15, find x² + y2.​

Answer 1

GIVEN :

x + y = 8

xy = 15.

Required To Find : x^2 + y^2.

SOLUTION :

we know that,

( x+y )^2 = x^2 + y^2 + 2xy

x^2 + y^2 = ( x + y )^2 - 2xy

= 8^2 - 2×15

= 64 - 30

x^2 + y^2 = 34.

RESULT :

x^2 + y^2 = 34

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Answer 2

$\boxed{Given:} \\\\\sf </p><p>x+y=8 \\\\\sf </p><p>xy=15</p><p>$

$\boxed{Ańšwėř}$

$\sf (x+y)^2= x^2+y^2+2xy \\\\\sf </p><p>8^2=x^2+y^2+2xy \\\\\sf </p><p>64=x^2+y^2+30 \\\\\sf </p><p>x^2+y^2=64-30 \\\\\sf </p><p>=\boxed{34}</p><p>$