What is the answer to sqrt(2x)+4-sqrt(x)-3=2 ?

The answer to sqrt(2x)+4-sqrt(x)-3=2 is x=3+2sqrt(2)

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sqrt(2x)+4-sqrt(x)-3=2

2 x + 4 - x - 3 = 2

x = 3 + 22

Decimal Notation

x = 5.82842 \dots

Solution steps

2 x + 4 - x - 3 = 2

Expand

2 x + 4 - x - 3 : 2 x + 1 - x

2 x + 1 - x = 2

Remove square roots

x^{2} - 2 x + 1 = 4 x

Solve

x^{2} - 2 x + 1 = 4 x : x = 3 + 22, x = 3 - 22

x = 3 + 22, x = 3 - 22

Verify Solutions:

x = 3 + 22

True

, x = 3 - 22

False

The solution is

x = 3 + 22

(2 x - 3) = 5

37620 = 12540 0.5 x + 1

x + 7 x + 2 = 0

y, x = y^{3} + 9

What is the answer to sqrt(2x)+4-sqrt(x)-3=2 ?
The answer to sqrt(2x)+4-sqrt(x)-3=2 is x=3+2sqrt(2)
Solve for x: sqrt(2x)+4-sqrt(x)-3=2
The solution is x=3+2sqrt(2)