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

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

Find the zeros of X^2-2X-1=0

The zeros of X^2-2X-1=0 are X=1+sqrt(2),X=1-sqrt(2)

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X^{2} - 2 X - 1 = 0

X = 1 + 2, X = 1 - 2

Decimal Notation

X = 2.41421 \dots, X = - 0.41421 \dots

Solution steps

X^{2} - 2 X - 1 = 0

Solve with the quadratic formula

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

(- 2)^{2} - 4 \cdot 1 \cdot (- 1) = 22

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

X = 1 + 2, X = 1 - 2

i^{35}

- 21 = 7 w

x^{4} - 2 x^{3} - 23 x^{2} + 24 x + 144

5 x + 3 = 7

(- 3) \cdot (4 - (- 9))

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