What is the answer to 8+sqrt(3x)-x=0 ?

The answer to 8+sqrt(3x)-x=0 is x=(19+sqrt(105))/2

Solve for x: 8+sqrt(3x)-x=0

The solution is x=(19+sqrt(105))/2

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8 + 3 x - x = 0

x = \frac{19 + 105}{2}

Decimal Notation

x = 14.62347 \dots

Solution steps

8 + 3 x - x = 0

Remove square roots

3 x = x^{2} - 16 x + 64

Solve

3 x = x^{2} - 16 x + 64 : x = \frac{19 + 105}{2}, x = \frac{19 - 105}{2}

x = \frac{19 + 105}{2}, x = \frac{19 - 105}{2}

Verify Solutions:

x = \frac{19 + 105}{2}

True

, x = \frac{19 - 105}{2}

False

The solution is

x = \frac{19 + 105}{2}

x = 4 x - 3

(25 x^{2})^{- \frac{1}{2}} = 2

2 x + 3 = \frac{x}{x + 5} + 2

a (3 i) = - 3

(x - 1)^{2} = 4

What is the answer to 8+sqrt(3x)-x=0 ?
The answer to 8+sqrt(3x)-x=0 is x=(19+sqrt(105))/2
Solve for x: 8+sqrt(3x)-x=0
The solution is x=(19+sqrt(105))/2