Grade 12Algebra
If G be the the geometric mean of x and y then 1/G^2-x^2 +1/G^2-y^2?
If G be the the geometric mean of x and y then 1/G^2-x^2 +1/G^2-y^2?
1 Answer
Arun
G^2 = XY
SO 1/(G²-x²)+1/(G²-y²)
= 1/(XY-X^2) + 1/(XY-Y^2)
= 1/X* 1/(Y-X)+1/Y* 1/(X-Y)
= 1/(x-y)[1/y - 1/x]
=1/(x-y) *[(x-y)/xy]
= 1 / xy
= 1 / G^2
SO 1/(G²-x²)+1/(G²-y²)
= 1/(XY-X^2) + 1/(XY-Y^2)
= 1/X* 1/(Y-X)+1/Y* 1/(X-Y)
= 1/(x-y)[1/y - 1/x]
=1/(x-y) *[(x-y)/xy]
= 1 / xy
= 1 / G^2
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago