Question

solve the following using formula method 1/x-3 - 1/x+5 = 1/6x not equal to 3 and 5​

Answer 1

Answer:

Step-by-step explanation:

Solution

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Correct option is A)

Given equation is:  

x−3

1

​

−

x+5

1

​

=

6

1

​

⇒

(x−3)(x+5)

x+5−(x−3)

​

=

6

1

​

⇒

x

2

+2x−15

x+5−x−3

​

=

6

1

​

⇒

x

2

+2x−15

8

​

=

6

1

​

⇒48=x

2

+2x−15

⇒x

2

+2x−63=0

⇒x

2

+9x−7x−63=0

⇒x(x+9)−7(x+9)=0

⇒(x+9)(x−7)=0

⇒x+9=0 or x−7=0

⇒x=−9 and x=7

Hence, x=−9,7 are the required solutions.

Answer 2

Answer:

Given equation is:

x−3

1

−

x+5

1

=

6

1

⇒

(x−3)(x+5)

x+5−(x−3)

=

6

1

⇒

x

2

+2x−15

x+5−x−3

=

6

1

⇒

x

2

+2x−15

8

=

6

1

⇒48=x

2

+2x−15

⇒x

2

+2x−63=0

⇒x

2

+9x−7x−63=0

⇒x(x+9)−7(x+9)=0

⇒(x+9)(x−7)=0

⇒x+9=0 or x−7=0

⇒x=−9 and x=7

Hence, x=−9,7 are the required solutions.