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

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

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

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

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4 x - 2 x^{2} = 1

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

Decimal Notation

x = 1.70710 \dots, x = 0.29289 \dots

Solution steps

4 x - 2 x^{2} = 1

Divide both sides by

- 2

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

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

0.57 x^{2} + 0.41 x - 0.87 = 0

a^{3} - (a - 1)^{3} = 169

2 a^{2} - \frac{7}{2} a - 18 = 0

2 t^{2} + 11 t + 5 = 0

(2 x + 1) (x - 4) = 0

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