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The number of real-valued solutions of the equation 2x + 2-x = 2 - (x - 2)2 is
1. 1
2. 0
3. Infinite
4. 2

1 Answer

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Best answer
Correct Answer - Option 2 : 0

Calculaton

2x + 2-x = 2 - (x - 2)2

⇒ 2x + 1/2x = 2 - (x - 2)2

⇒ By putting options

⇒ x = 1 then 21 + 2-1 = 2 - (1 - 2)2

⇒ 2 + 0.5 = 2 -  1

⇒ LHS is not equal to RHS

⇒ when x = 2

⇒ 22 + 1/22 = 2 - (2 -2)2

⇒ 4 + 0.25 = 2

⇒ LHS is not equal to RHS 

⇒ Hence this equation has 0 solution

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