Math, asked by shalini683, 10 months ago

Solve this question
 \frac{x}{x - 1}  +  \frac{x - 1}{x}  =2 \frac{1}{2}
Please explain

Please answer it correctly

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Answers

Answered by Anonymous
2

Step-by-step explanation:

hope it helps you........

Attachments:

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zaratariq: Mark me as brainliest too
Anonymous: ??
Answered by zaratariq
1

Answer:

The simple answer of this question is below mate and if it helps so plz mark it as brainliest

x

x−1

+

x−1

x

=2

1

2

2x2−2x+1

x2−x

=

5

2

Step 1: Multiply both sides by x^2-x.

2x2−2x+1=

5

2

x2+

−5

2

x

2x2−2x+1−(

5

2

x2+

−5

2

x)=

5

2

x2+

−5

2

x−(

5

2

x2+

−5

2

x)(Subtract 5/2x^2+(-5)/2x from both sides)

−1

2

x2+

1

2

x+1=0

x=

−b±√b2−4ac

2a

(Use quadratic formula with a=-0.5, b=0.5, c=1)

x=

−(0.5)±√(0.5)2−4(−0.5)(1)

2(−0.5)

x=

−0.5±√2.25

−1

x=−1,2

Check answers. (Plug them in to make sure they work.)

x=−1(Works in original equation)

x=2(Works in original equation)

Answer:

x=−1 or x=2


zaratariq: Mark me as Brainliest please
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