Question

1 Ifx - y = 8 and xy = 5, find x2 + v2
2 If x + y = 10 and ry = 21, find 2182 2).
3 If 21+ 3b = 7 and ab = 2, find 492 +962
4 IF 3x - 4y = 16 and xy = 4, find the value of 9x2 + 1672
5 If x + y = 8 and x - y = 2, find the value of 2x2 + 2y2.
Hint. 2(x2 + y2) = (x + y)2 + (x - y)2.
6 If22 = 13 and ab = 6, find a() -
7 If a + b = 4 and ab = -12, find (1) a - b () 2 - 2
8 If - = 9 and p = 36, evaluate
(1) p + 4
(in) pa - 2
• If + y = 6 and x - y = 4, find () r? + y2 (m) ry.
Hint. () 4 xy = (x + y)2-x - y)?​

Answer 1

Answer:

Step-by-step explanation:

1. Given,

x-y = 8 , xy = 5

now,  

we know that,

x^2+y^2

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

=8^2+2*5

= 64+10  

= 74