Math, asked by SHASHANKDAHAT74, 1 month ago

Can any kind person help me??

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Answers

Answered by shraddha663
0

Step-by-step explanation:

log

10

x−2+log

10

y=0

⇒log

10

(x−2)y=0

⇒(x−2)y=1

⇒xy=1+2y (equation 1)

x + y−2 = x+y

Squaring both side,

⇒x+(y−2)+2

x(y−2)

=(x+y)

⇒2

x(y−2)

=2

x(y−2)

=1

⇒x(y−2)=1

⇒xy=(1+2x) (equation 2)

From equation 1 and 2

(x=y)

Putting this in equation 1

x 2 =1+2x

(x 2 −2x−1)=0

x=1+ 2 ,1-2

y=1+ 2 ,1− 2

But x,y both should be greater than 2.

∴(x+y)=2+2 ✓2

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