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 = 0.41421 \dots, X = - 2.41421 \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

x, x^{2} + y^{2} + z^{2} + 2 x - 6 y - 6 = 0

\frac{x ^{2}}{2} = 2 x

- 2 = x^{2} - 2

(x + 7) (x - 2) = 0

2 x = (x + 2) x

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)