Question

1/x+3 - x/x2-9 = 2/3-x with solution​

Answer 1

Step-by-step explanation:

Given equation is 3

x

2

:3

x

=9:1

=>

3

x

3

x

2

=

1

3

2

By using law a

m

÷a

n

=a

m−n

=>3

x

2

−x

=3

2

As base is same, we can equate the powers,

⇒x

2

−x=2

⇒x

2

−x−2=0

⇒x

2

−2x+x−2=0

⇒x(x−2)+(x−2)=0

⇒(x−2)(x+1)=0

⇒x=2 or x=−1

⇒x=2 satisfies the condition.

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