What are the solutions to the equation 3x^2-11x+5=0 ?

The solutions to the equation 3x^2-11x+5=0 are x=(11+sqrt(61))/6 ,x=(11-sqrt(61))/6

Find the zeros of 3x^2-11x+5=0

The zeros of 3x^2-11x+5=0 are x=(11+sqrt(61))/6 ,x=(11-sqrt(61))/6

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3 x^{2} - 11 x + 5 = 0

x = \frac{11 + 61}{6}, x = \frac{11 - 61}{6}

Decimal Notation

x = 3.13504 \dots, x = 0.53162 \dots

Solution steps

3 x^{2} - 11 x + 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 \cdot 5 = 61

x_{1, 2} = \frac{- ( - 11 ) \pm 61}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 61}{2 \cdot 3}, x_{2} = \frac{- ( - 11 ) - 61}{2 \cdot 3}

x = \frac{- ( - 11 ) + 61}{2 \cdot 3} : \frac{11 + 61}{6}

x = \frac{- ( - 11 ) - 61}{2 \cdot 3} : \frac{11 - 61}{6}

The solutions to the quadratic equation are:

x = \frac{11 + 61}{6}, x = \frac{11 - 61}{6}

9 x^{2} + 15 x = 0

100 - x^{2} = 52 + 2 x

x^{2} - 4 x - 72 = 0

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

a^{2} = a 5

What are the solutions to the equation 3x^2-11x+5=0 ?
The solutions to the equation 3x^2-11x+5=0 are x=(11+sqrt(61))/6 ,x=(11-sqrt(61))/6
Find the zeros of 3x^2-11x+5=0
The zeros of 3x^2-11x+5=0 are x=(11+sqrt(61))/6 ,x=(11-sqrt(61))/6