Question

if X square + Y square equal to 13 and X Y is equal to 6 find the value of x + Y

Answer 1

X² + Y² = 13

XY = 6

$<b>( X + Y )² = X² + Y² + 2XY</b>$

( X + Y )² = 13 + 2 ( 6 )

( X + Y )² = 13 + 12

( X + Y )² = 25

X + Y = √25

$<b><u>X + Y = 5</b></u>$