What are the solutions to the equation 3x^2-10x+1=0 ?

The solutions to the equation 3x^2-10x+1=0 are x=(5+sqrt(22))/3 ,x=(5-sqrt(22))/3

Find the zeros of 3x^2-10x+1=0

The zeros of 3x^2-10x+1=0 are x=(5+sqrt(22))/3 ,x=(5-sqrt(22))/3

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3 x^{2} - 10 x + 1 = 0

x = \frac{5 + 22}{3}, x = \frac{5 - 22}{3}

Decimal Notation

x = 3.23013 \dots, x = 0.10319 \dots

Solution steps

3 x^{2} - 10 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 3 \cdot 1}{2 \cdot 3}

(- 10)^{2} - 4 \cdot 3 \cdot 1 = 222

x_{1, 2} = \frac{- ( - 10 ) \pm 2 22}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 22}{2 \cdot 3}, x_{2} = \frac{- ( - 10 ) - 2 22}{2 \cdot 3}

x = \frac{- ( - 10 ) + 2 22}{2 \cdot 3} : \frac{5 + 22}{3}

x = \frac{- ( - 10 ) - 2 22}{2 \cdot 3} : \frac{5 - 22}{3}

The solutions to the quadratic equation are:

x = \frac{5 + 22}{3}, x = \frac{5 - 22}{3}

x^{2} - 16 x

(4 x - 1) (2 x + 3) = (x + 3) (x - 1)

(m + 8)^{2} = 72

5 r^{2} - 20 r + 15 = 0

(1 - k) x^{2} - (k + 1) x - 2 = 0

What are the solutions to the equation 3x^2-10x+1=0 ?
The solutions to the equation 3x^2-10x+1=0 are x=(5+sqrt(22))/3 ,x=(5-sqrt(22))/3
Find the zeros of 3x^2-10x+1=0
The zeros of 3x^2-10x+1=0 are x=(5+sqrt(22))/3 ,x=(5-sqrt(22))/3