What is the answer to x(6-2x^{0.5})+2=0 ?

The answer to x(6-2x^{0.5})+2=0 is x\approx 9.63359…

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x(6-2x^{0.5})+2=0

x (6 - 2 x^{0.5}) + 2 = 0

x \approx 9.63359 \dots

Solution steps

x (6 - 2 x^{0.5}) + 2 = 0

Expand

x (6 - 2 x^{\frac{1}{2}}) + 2 : 6 x - 2 x^{\frac{1}{2}} x + 2

6 x - 2 x^{\frac{1}{2}} x + 2 = 0

Remove square roots

4 x^{3} = 36 x^{2} + 24 x + 4

Solve

4 x^{3} = 36 x^{2} + 24 x + 4 : x \approx 9.63359 \dots

x \approx 9.63359 \dots

Verify Solutions:

x \approx 9.63359 \dots

True

The solution is

x \approx 9.63359 \dots

1 = 1 b^{2.5}

x + x + x - 1 = 6

x - 4 = 5

2 x^{- 1} + x^{\frac{- 1}{2}} = 6

(x - 1)^{\frac{3}{4}} = 64

What is the answer to x(6-2x^{0.5})+2=0 ?
The answer to x(6-2x^{0.5})+2=0 is x\approx 9.63359…
Solve for x: x(6-2x^{0.5})+2=0
The solution is x\approx 9.63359…