What are the solutions to the equation 5x^2-10x-1=0 ?

The solutions to the equation 5x^2-10x-1=0 are x=(5+sqrt(30))/5 ,x=(5-sqrt(30))/5

Find the zeros of 5x^2-10x-1=0

The zeros of 5x^2-10x-1=0 are x=(5+sqrt(30))/5 ,x=(5-sqrt(30))/5

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5 x^{2} - 10 x - 1 = 0

x = \frac{5 + 30}{5}, x = \frac{5 - 30}{5}

Decimal Notation

x = 2.09544 \dots, x = - 0.09544 \dots

Solution steps

5 x^{2} - 10 x - 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 1 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 1) = 230

x_{1, 2} = \frac{- ( - 10 ) \pm 2 30}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 30}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 2 30}{2 \cdot 5}

x = \frac{- ( - 10 ) + 2 30}{2 \cdot 5} : \frac{5 + 30}{5}

x = \frac{- ( - 10 ) - 2 30}{2 \cdot 5} : \frac{5 - 30}{5}

The solutions to the quadratic equation are:

x = \frac{5 + 30}{5}, x = \frac{5 - 30}{5}

8 x^{2} - 24

(5 b^{2})^{3} (\frac{1}{2} b^{3})^{2}

\frac{12 !}{7 ! 5 !}

\frac{6 + 2 i}{3 + 2 i}

\frac{5 + 3}{3 - 5}

What are the solutions to the equation 5x^2-10x-1=0 ?
The solutions to the equation 5x^2-10x-1=0 are x=(5+sqrt(30))/5 ,x=(5-sqrt(30))/5
Find the zeros of 5x^2-10x-1=0
The zeros of 5x^2-10x-1=0 are x=(5+sqrt(30))/5 ,x=(5-sqrt(30))/5