Question

Quadratic equations x^2+y^2=89,xy=40
Find x,y

Answer 1

Answer:

x²+y²=89,xy=40

Step-by-step explanation:

(x+y)²=x²+2xy+y² (x-y)²=x²-2xy+y²

=89+2×40 =89-2×40

=89+80 =89-80

=169 =9

x+y=+-13 x-y=+-3

x+y=13 i x-y=3 ii

x+y=-13 iii x-y=-3 iv

Adding i and ii

2x=16

x=8

y=13-8=5

Adding iii and iv

2x=-16

x=-8

y=-13-(-8)=-13+8=-5