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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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