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

The solutions to the equation x^2-10x-1=0 are x=5+sqrt(26),x=5-sqrt(26)

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

The zeros of x^2-10x-1=0 are x=5+sqrt(26),x=5-sqrt(26)

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

x = 5 + 26, x = 5 - 26

Decimal Notation

x = 10.09901 \dots, x = - 0.09901 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 1 \cdot (- 1) = 226

x_{1, 2} = \frac{- ( - 10 ) \pm 2 26}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 26}{2 \cdot 1}, x_{2} = \frac{- ( - 10 ) - 2 26}{2 \cdot 1}

x = \frac{- ( - 10 ) + 2 26}{2 \cdot 1} : 5 + 26

x = \frac{- ( - 10 ) - 2 26}{2 \cdot 1} : 5 - 26

The solutions to the quadratic equation are:

x = 5 + 26, x = 5 - 26

\frac{2 + 5 i}{i}

x^{3} + 5 x^{2} - 4 x - 20

a^{2} b^{3} - 4 b^{6} - 6 a^{2} + 24 b^{3}

(12 + 6) (- 8 - 2)

35000 \cdot (1 + 0.1)^{20}

What are the solutions to the equation x^2-10x-1=0 ?
The solutions to the equation x^2-10x-1=0 are x=5+sqrt(26),x=5-sqrt(26)
Find the zeros of x^2-10x-1=0
The zeros of x^2-10x-1=0 are x=5+sqrt(26),x=5-sqrt(26)