Question

If x + y = 7 and xy = 2, then x2
– y2=

Answer 1

Answer:

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

=(7)^2+2×2

=49+4

=53

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Answer 2

||Given||

X+y=7

xy=2

To Find

x²-y²

Solution

X+Y=7 (both side squaring)

=>(X+Y)²=(7)²

=>x²+y²+2xy=49

=>x²+y²+4=49

$\because$x²+y²=45

Now, finding for x-y

(x-y)²=x²+y²-2xy (putting values)

=>(x-y)²=45-4

$\because$x-y=√41

Now,x²-y²

=>x²-y²=(x-y)(x+y)

=>x²-y²=(√41)(7)

$\because$x²-y²=7√41

$\boxed{\boxed{AnsweR=7root41}}$