Question

If x + y = 12 and xy = 32, then what is the value of x² + y²
(a) 24
(b) 144
(c) 128
(d) 80

Answer 1

l think the answer will be 80. as x and y can take the values of 4 and 8.
hope it helps u.
PLEASE MARK IT AS BRAINLIEST..

Answer 2

Answer:

option d is right

solution

given =.x+y = 12

xy=32

find $x^{2}+y^{2}=?$

x+y = 12 (squaring on both side)

$x^{2}+y^{2}+ 2xy = 144 \\ x^{2}+y^{2}+2×32 = 144 \\ x^{2}+y^{2}=.144-2×32 \\ x^{2}+y^{2}=80$