Question

If x + y = 5 and xy = 6. Find the value of x^2 + y^2 and x - y. *
1 point
12 and 2
13 and 1
10 and 5
25 and 10​

Answer 1

Answer:

by squaring on both sides

x^2+y^2+2xy = 25

substitute xy now

x^2+y^2+12 = 25

x^2+y^2 = 13 - this is the first answer and take it as equation 1

By adding and subtracting 2xy in equation 1

x^2+y^2+2xy-2xy=13

(x-y)^2+2xy = 13

substituting xy

(x-y)^2 + 12 = 13

(x-y)^2 = 1

root on both sides

x minus y equals 1

Lemme know if u understood in the comments