What are the solutions to the equation completesquare 2x^2+4x+1=0 ?

The solutions to the equation completesquare 2x^2+4x+1=0 are x=sqrt(1/2)-1,x=-sqrt(1/2)-1

Find the zeros of completesquare 2x^2+4x+1=0

The zeros of completesquare 2x^2+4x+1=0 are x=sqrt(1/2)-1,x=-sqrt(1/2)-1

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2 x^{2} + 4 x + 1 = 0

x = \frac{1}{2} - 1, x = - \frac{1}{2} - 1

Decimal Notation

x = - 0.29289 \dots, x = - 1.70710 \dots

Solution steps

2 x^{2} + 4 x + 1 = 0

Move

1

to the right side

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

Divide both sides by

2

\frac{2 x ^{2} + 4 x}{2} = \frac{- 1}{2}

x^{2} + 2 x = - \frac{1}{2}

Rewrite in the form

(x + a)^{2} = b

(x + 1)^{2} = \frac{1}{2}

For

the solutions are

f (x) = a, - a

Solve

x + 1 = \frac{1}{2} : x = \frac{1}{2} - 1

Solve

x + 1 = - \frac{1}{2} : x = - \frac{1}{2} - 1

The solutions to the quadratic equation are:

x = \frac{1}{2} - 1, x = - \frac{1}{2} - 1

t, f = 29 - (x^{2} + z^{2} + t^{2})

3 x^{2} - 6 x + 10

x, x^{2} - 3 x + 2 = 0

x^{2} + 3 = 7

4 x^{2} - 15 = 0

What are the solutions to the equation completesquare 2x^2+4x+1=0 ?
The solutions to the equation completesquare 2x^2+4x+1=0 are x=sqrt(1/2)-1,x=-sqrt(1/2)-1
Find the zeros of completesquare 2x^2+4x+1=0
The zeros of completesquare 2x^2+4x+1=0 are x=sqrt(1/2)-1,x=-sqrt(1/2)-1