Question

solve for X using properties of proportion ✓x+2 +✓x-3/✓x+2-✓x-3 =5​

Answer 1

Step-by-step explanation:

Given expression is

2x−

4x

2

−1

2x+

4x

2

−1

=4

We use componendo and dividendo in above expression, we get

2x+

4x

2

−1

−(2x−

4x

2

−1

)

2x+

4x

2

−1

+2x−

4x

2

−1

=4

4x

2

−1

2x

=

4−1

4+1

=

3

5

Squaring and rearranging, we get:

4x

2

×9=5(4x

2

−1)

⇒36x

2

=100x

2

−25

⇒x=±

8

5

Choosing the positive value of x we get x=

8

5

Answer 2

Answer:

Answer is in Attachment.......

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Hope it will help you ✔