What are the solutions to the equation 3x^2-8x+2=0 ?

The solutions to the equation 3x^2-8x+2=0 are x=(4+sqrt(10))/3 ,x=(4-sqrt(10))/3

Find the zeros of 3x^2-8x+2=0

The zeros of 3x^2-8x+2=0 are x=(4+sqrt(10))/3 ,x=(4-sqrt(10))/3

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3 x^{2} - 8 x + 2 = 0

x = \frac{4 + 10}{3}, x = \frac{4 - 10}{3}

Decimal Notation

x = 2.38742 \dots, x = 0.27924 \dots

Solution steps

3 x^{2} - 8 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 \cdot 2}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 \cdot 2 = 210

x_{1, 2} = \frac{- ( - 8 ) \pm 2 10}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2 10}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 10}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 10}{2 \cdot 3} : \frac{4 + 10}{3}

x = \frac{- ( - 8 ) - 2 10}{2 \cdot 3} : \frac{4 - 10}{3}

The solutions to the quadratic equation are:

x = \frac{4 + 10}{3}, x = \frac{4 - 10}{3}

(3 m - 2) (3 m + 2) + 4

15 x^{2} - 4 x - 4

- 93 + 3 x = 12 x + 213

2 x^{3} + 2 x^{2} + 3 x + 3

\frac{- 20 + - 50}{60}

What are the solutions to the equation 3x^2-8x+2=0 ?
The solutions to the equation 3x^2-8x+2=0 are x=(4+sqrt(10))/3 ,x=(4-sqrt(10))/3
Find the zeros of 3x^2-8x+2=0
The zeros of 3x^2-8x+2=0 are x=(4+sqrt(10))/3 ,x=(4-sqrt(10))/3