What are the solutions to the equation 5x^2-10x-3=0 ?

The solutions to the equation 5x^2-10x-3=0 are x=(5+2sqrt(10))/5 ,x=(5-2sqrt(10))/5

Find the zeros of 5x^2-10x-3=0

The zeros of 5x^2-10x-3=0 are x=(5+2sqrt(10))/5 ,x=(5-2sqrt(10))/5

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5 x^{2} - 10 x - 3 = 0

x = \frac{5 + 2 10}{5}, x = \frac{5 - 2 10}{5}

Decimal Notation

x = 2.26491 \dots, x = - 0.26491 \dots

Solution steps

5 x^{2} - 10 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 3 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 3) = 410

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

Separate the solutions

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

x = \frac{- ( - 10 ) + 4 10}{2 \cdot 5} : \frac{5 + 2 10}{5}

x = \frac{- ( - 10 ) - 4 10}{2 \cdot 5} : \frac{5 - 2 10}{5}

The solutions to the quadratic equation are:

x = \frac{5 + 2 10}{5}, x = \frac{5 - 2 10}{5}

3 x^{2} - 18 x + 24 = - 2

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

x^{2} - 19 x - 90 = 0

25 π = π (x + 3)^{2}

4 x^{2} - 32 x = - 71

What are the solutions to the equation 5x^2-10x-3=0 ?
The solutions to the equation 5x^2-10x-3=0 are x=(5+2sqrt(10))/5 ,x=(5-2sqrt(10))/5
Find the zeros of 5x^2-10x-3=0
The zeros of 5x^2-10x-3=0 are x=(5+2sqrt(10))/5 ,x=(5-2sqrt(10))/5