What is the answer to solvefor x,4=0.5+0.5x+sqrt(x) ?

The answer to solvefor x,4=0.5+0.5x+sqrt(x) is x=9-4sqrt(2)

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solvefor x,4=0.5+0.5x+sqrt(x)

x, 4 = 0.5 + 0.5 x + x

x = 9 - 42

Decimal Notation

x = 3.34314 \dots

Solution steps

4 = 0.5 + 0.5 x + x

Remove square roots

0.25 x^{2} - 3.5 x + 12.25 = x

Solve

0.25 x^{2} - 3.5 x + 12.25 = x : x = 9 + 42, x = 9 - 42

x = 9 + 42, x = 9 - 42

Verify Solutions:

x = 9 + 42

False

, x = 9 - 42

True

The solution is

x = 9 - 42

2 x + 9 = 5

2 3 a + 1 = 7 - 3 a

x - 1 - 5 = 0

4 x - 6 = x + 3

What is the answer to solvefor x,4=0.5+0.5x+sqrt(x) ?
The answer to solvefor x,4=0.5+0.5x+sqrt(x) is x=9-4sqrt(2)