What are the solutions to the equation x^2-2x-1=4 ?

The solutions to the equation x^2-2x-1=4 are x=1+sqrt(6),x=1-sqrt(6)

Find the zeros of x^2-2x-1=4

The zeros of x^2-2x-1=4 are x=1+sqrt(6),x=1-sqrt(6)

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x^{2} - 2 x - 1 = 4

x = 1 + 6, x = 1 - 6

Solution steps

x^{2} - 2 x - 1 = 4

Move

4

to the left side

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

Solve with the quadratic formula

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

(- 2)^{2} - 4 \cdot 1 \cdot (- 5) = 26

x_{1, 2} = \frac{- ( - 2 ) \pm 2 6}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 2 6}{2 \cdot 1}, x_{2} = \frac{- ( - 2 ) - 2 6}{2 \cdot 1}

x = \frac{- ( - 2 ) + 2 6}{2 \cdot 1} : 1 + 6

x = \frac{- ( - 2 ) - 2 6}{2 \cdot 1} : 1 - 6

The solutions to the quadratic equation are:

x = 1 + 6, x = 1 - 6

x^{2} - 7 + 12 = 0

1 + 8 t^{3}

(x^{\frac{5}{6}}) (x^{\frac{1}{3}})

2 (- 1) + 1

(\frac{1}{x ^{2} - 4 x - 5})^{\frac{1}{2}}

What are the solutions to the equation x^2-2x-1=4 ?
The solutions to the equation x^2-2x-1=4 are x=1+sqrt(6),x=1-sqrt(6)
Find the zeros of x^2-2x-1=4
The zeros of x^2-2x-1=4 are x=1+sqrt(6),x=1-sqrt(6)