What are the solutions to the equation 5x^2-10x-11=0 ?

The solutions to the equation 5x^2-10x-11=0 are x=(5+4sqrt(5))/5 ,x=(5-4sqrt(5))/5

Find the zeros of 5x^2-10x-11=0

The zeros of 5x^2-10x-11=0 are x=(5+4sqrt(5))/5 ,x=(5-4sqrt(5))/5

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5 x^{2} - 10 x - 11 = 0

x = \frac{5 + 4 5}{5}, x = \frac{5 - 4 5}{5}

Decimal Notation

x = 2.78885 \dots, x = - 0.78885 \dots

Solution steps

5 x^{2} - 10 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 11 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 11) = 85

x_{1, 2} = \frac{- ( - 10 ) \pm 8 5}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 8 5}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 8 5}{2 \cdot 5}

x = \frac{- ( - 10 ) + 8 5}{2 \cdot 5} : \frac{5 + 4 5}{5}

x = \frac{- ( - 10 ) - 8 5}{2 \cdot 5} : \frac{5 - 4 5}{5}

The solutions to the quadratic equation are:

x = \frac{5 + 4 5}{5}, x = \frac{5 - 4 5}{5}

4 x + 5 \leq 13

1 - (\frac{3}{4})^{2}

18 x^{2} - 12 x

lo g_{2} (8^{33})

5^{2}

What are the solutions to the equation 5x^2-10x-11=0 ?
The solutions to the equation 5x^2-10x-11=0 are x=(5+4sqrt(5))/5 ,x=(5-4sqrt(5))/5
Find the zeros of 5x^2-10x-11=0
The zeros of 5x^2-10x-11=0 are x=(5+4sqrt(5))/5 ,x=(5-4sqrt(5))/5