What are the solutions to the equation x^2-(2sqrt(3))/3 x+1/3 =0 ?

The solutions to the equation x^2-(2sqrt(3))/3 x+1/3 =0 are x=0.57735…

Find the zeros of x^2-(2sqrt(3))/3 x+1/3 =0

The zeros of x^2-(2sqrt(3))/3 x+1/3 =0 are x=0.57735…

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x^{2} - \frac{2 3}{3} x + \frac{1}{3} = 0

x = 0.57735 \dots

Solution steps

x^{2} - \frac{2 3}{3} x + \frac{1}{3} = 0

Multiply both sides by

3

3 x^{2} - 23 x + 1 = 0

Factor

3 x^{2} - 23 x + 1 : (1.73205 \dots x - 1)^{2}

(1.73205 \dots x - 1)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

1.73205 \dots x - 1 = 0

Solve

1.73205 \dots x - 1 = 0 : x = 0.57735 \dots

The solution to the quadratic equation is:

x = 0.57735 \dots

462.28 = 12.146 + 7.473 x - 0.092 x^{2}

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

x^{2} + 2 x (- x + 2) - 3 (- x + 2)^{2} = 0

5 x^{2} = 6 x - 1

3 u^{2} + 24 u = 0

What are the solutions to the equation x^2-(2sqrt(3))/3 x+1/3 =0 ?
The solutions to the equation x^2-(2sqrt(3))/3 x+1/3 =0 are x=0.57735…
Find the zeros of x^2-(2sqrt(3))/3 x+1/3 =0
The zeros of x^2-(2sqrt(3))/3 x+1/3 =0 are x=0.57735…