Question

1/x-3 - 1/x+5 = 1/6, x ≠ 3, -5

Answer 1

If

x−3

1

−

x+5

1

=

6

1

(x

=3,−5), then x is equal to

Medium

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.

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SIMILAR QUESTIONS

star-struck

If

x+2

4

−

x+3

1

=

2x+1

4

, then the values of x are

Medium

View solution

>

Solve :

x−1

x+1

−

x+1

x−1

=

6

5

,x

={1,−1}