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(3/2)-1,x=-sqrt(3/2)-1

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

The zeros of completesquare 2x^2+4x-1=0 are x=sqrt(3/2)-1,x=-sqrt(3/2)-1

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

x = \frac{3}{2} - 1, x = - \frac{3}{2} - 1

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{3}{2}

For

the solutions are

f (x) = a, - a

Solve

x + 1 = \frac{3}{2} : x = \frac{3}{2} - 1

Solve

x + 1 = - \frac{3}{2} : x = - \frac{3}{2} - 1

The solutions to the quadratic equation are:

x = \frac{3}{2} - 1, x = - \frac{3}{2} - 1

x^{2} + 1 - 3 x = 0

2 f (a) = 3 x^{2} - x + 2

12 x + 3 = - 4 x^{2} + 20

(x + 3) 2 = 8 (x - 2) + x^{2}

x^{2} + 13 x + 24 = 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(3/2)-1,x=-sqrt(3/2)-1
Find the zeros of completesquare 2x^2+4x-1=0
The zeros of completesquare 2x^2+4x-1=0 are x=sqrt(3/2)-1,x=-sqrt(3/2)-1