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

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

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

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

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

x = 1 + 2, x = 1 - 2

Decimal Notation

x = 2.41421 \dots, x = - 0.41421 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 5 (- 5) = 102

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

Separate the solutions

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

x = \frac{- ( - 10 ) + 10 2}{2 \cdot 5} : 1 + 2

x = \frac{- ( - 10 ) - 10 2}{2 \cdot 5} : 1 - 2

The solutions to the quadratic equation are:

x = 1 + 2, x = 1 - 2

x, 4 y^{3} - x^{2} y - x + 5 y = 0

(x + 1) 3 - (x - 1) 3 = 6 x (x - 3)

5 x^{2} + 14 x + 2 = 0

x^{2} - 7 x + 31 = 0

6 x^{2} - 726 = 0

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