What are the solutions to the equation x^2-19x+6=0 ?

The solutions to the equation x^2-19x+6=0 are x=(19+sqrt(337))/2 ,x=(19-sqrt(337))/2

Find the zeros of x^2-19x+6=0

The zeros of x^2-19x+6=0 are x=(19+sqrt(337))/2 ,x=(19-sqrt(337))/2

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x^{2} - 19 x + 6 = 0

x = \frac{19 + 337}{2}, x = \frac{19 - 337}{2}

Decimal Notation

x = 18.67877 \dots, x = 0.32122 \dots

Solution steps

x^{2} - 19 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 19 ) \pm ( - 19 ) ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

(- 19)^{2} - 4 \cdot 1 \cdot 6 = 337

x_{1, 2} = \frac{- ( - 19 ) \pm 337}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 19 ) + 337}{2 \cdot 1}, x_{2} = \frac{- ( - 19 ) - 337}{2 \cdot 1}

x = \frac{- ( - 19 ) + 337}{2 \cdot 1} : \frac{19 + 337}{2}

x = \frac{- ( - 19 ) - 337}{2 \cdot 1} : \frac{19 - 337}{2}

The solutions to the quadratic equation are:

x = \frac{19 + 337}{2}, x = \frac{19 - 337}{2}

(x - 2)^{2} - 49 = 0

3 x^{2} + 8 x = - 5

(x - 1)^{2} = 3 - x

x^{2} - \frac{3}{2} x - 10 = 0

3 x^{2} - 5 x + 30 = 0

What are the solutions to the equation x^2-19x+6=0 ?
The solutions to the equation x^2-19x+6=0 are x=(19+sqrt(337))/2 ,x=(19-sqrt(337))/2
Find the zeros of x^2-19x+6=0
The zeros of x^2-19x+6=0 are x=(19+sqrt(337))/2 ,x=(19-sqrt(337))/2