Question

Solve the problem for x
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Answer 1

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You can refer to the attachment for the answer

Answer 2

Answer:

if you see the values being reciprocals of each other, then we should substitute the values as y or any other alphabets and its reciprocals.

here, it goes: 2y - 3/y = 5

therefore, 2y^2 - 3 =5y

so, we get the proper equation as: 2y^2 - 5y -3=0

now, we factorise it, 2y^2 - 6y +y -3 = 0 [since the sum= -5 and product=6]

    2y(y-3) -1(y-3) = 0

   (2y-1) (y-3)=0

the values of y are: 1/2 and 3

putting y = 3, we get:

2x-1/x+3 = 3

2x-1 = 3x + 9

3x-2x= -9-1

x = 10

now by putting 1/2, we get:

2x-1/x+3 = 1/2

4x-2 = x+3

3x = 5, x=5/3

therefore the values of x are : 5/3 and 10

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