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

The solutions to the equation 5x^2-10x-2=0 are x=(5+sqrt(35))/5 ,x=(5-sqrt(35))/5

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

The zeros of 5x^2-10x-2=0 are x=(5+sqrt(35))/5 ,x=(5-sqrt(35))/5

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

x = \frac{5 + 35}{5}, x = \frac{5 - 35}{5}

Decimal Notation

x = 2.18321 \dots, x = - 0.18321 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 5 (- 2) = 235

x_{1, 2} = \frac{- ( - 10 ) \pm 2 35}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 35}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 2 35}{2 \cdot 5}

x = \frac{- ( - 10 ) + 2 35}{2 \cdot 5} : \frac{5 + 35}{5}

x = \frac{- ( - 10 ) - 2 35}{2 \cdot 5} : \frac{5 - 35}{5}

The solutions to the quadratic equation are:

x = \frac{5 + 35}{5}, x = \frac{5 - 35}{5}

2 (x - 6) = - 5

7 \leq x - 9

- 2 x^{2} + 1 \geq 0

1 = 2 x - 2

\frac{64}{4}

What are the solutions to the equation 5x^2-10x-2=0 ?
The solutions to the equation 5x^2-10x-2=0 are x=(5+sqrt(35))/5 ,x=(5-sqrt(35))/5
Find the zeros of 5x^2-10x-2=0
The zeros of 5x^2-10x-2=0 are x=(5+sqrt(35))/5 ,x=(5-sqrt(35))/5