Math, asked by Nayansiniketa, 9 months ago

plz help me as soon as possible. plz guys plz. plz give me right solution. ...​

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Answered by abhi569
1

Make sure if your question is correct.

Answer:

16 / 25

Step-by-step explanation:

⇒ √x + √x - √( 1 - x ) = 1

⇒ 2√x - √( 1 - x ) = 1

⇒ 2√x - 1 = √( 1 - x )

Square on both sides:

⇒ ( 2√x - 1 )^2 = ( √( 1 - x ))^2

⇒ ( 2√x )^2 + 1 - 4√x = 1 - x

⇒ 4x + 1 - 4√x = 1 - x

⇒ 4x + 1 - 1 + x = 4√x

⇒ 5x = 4√x

⇒ 25x^2 = 16x

⇒ 25x^2 - 16x = 0

⇒ x( 25x - 16 ) = 0

⇒ x = 0  or 25x - 16 = 0

⇒ x = 0     or   x = 16 / 25

         Substituting the value of x as 0:

             2√( 0 ) - √( 1 - 0 ) ≠ 1

             Therefore, x = 16 / 25

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