SOLUTION: if x^2 + y^2 = 10 and (x - y)^2 = 2 find the numerical value of xy.

Algebra.Com
Question 522992: if x^2 + y^2 = 10 and (x - y)^2 = 2 find the numerical value of xy.
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
x^2 + y^2 = 10 -------------(1)
(x - y)^2 = 2
x^2+y^2-2xy =2---------------(2)
(1)-(2)
2xy=10-2
2xy=8
xy=4

xy.

RELATED QUESTIONS

if x+y=3 and x^2+y^2=6, find the numerical value of... (answered by greenestamps)
if x+y=8 and xy=7, find the value of... (answered by ewatrrr)
if x+y=-1 and xy=-12, find the value of... (answered by ikleyn)
If {{{1/x +1/y =10}}} and {{{x+y=2}}}, what is the value of... (answered by ikleyn)
If xy=10, what is the value of 2 X x/y X... (answered by jim_thompson5910)
If x+y=16 and xy=3, find the value of a) x^2 +y^2 b)... (answered by ikleyn,josgarithmetic)
If 2(x-y)^2=116 and xy=24, find the value of... (answered by LynnMomo,josgarithmetic)
if xy = 10, what is the value of 2(x/y)(y)(y) (show... (answered by Fombitz,josgarithmetic)
If x^2 + y^2 = 58 and xy = 21 , find the largest possible value of x +... (answered by richwmiller)