What are the solutions to the equation completesquare 8x-2x^2=1 ?

The solutions to the equation completesquare 8x-2x^2=1 are x=sqrt(7/2)+2,x=-sqrt(7/2)+2

Find the zeros of completesquare 8x-2x^2=1

The zeros of completesquare 8x-2x^2=1 are x=sqrt(7/2)+2,x=-sqrt(7/2)+2

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8 x - 2 x^{2} = 1

x = \frac{7}{2} + 2, x = - \frac{7}{2} + 2

Decimal Notation

x = 3.87082 \dots, x = 0.12917 \dots

Solution steps

8 x - 2 x^{2} = 1

Divide both sides by

- 2

\frac{8 x - 2 x ^{2}}{- 2} = \frac{1}{- 2}

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

Rewrite in the form

(x + a)^{2} = b

(x - 2)^{2} = \frac{7}{2}

For

the solutions are

f (x) = a, - a

Solve

x - 2 = \frac{7}{2} : x = \frac{7}{2} + 2

Solve

x - 2 = - \frac{7}{2} : x = - \frac{7}{2} + 2

The solutions to the quadratic equation are:

x = \frac{7}{2} + 2, x = - \frac{7}{2} + 2

4 (x + 7)^{2} - 35 = - 19

2 x^{2} - 3 x - 17 = 0

5 (x + 10)^{2} - 24 = 26

(3 x - 1)^{2} = 9 x + 3

x^{2} + 20 x = - 75

What are the solutions to the equation completesquare 8x-2x^2=1 ?
The solutions to the equation completesquare 8x-2x^2=1 are x=sqrt(7/2)+2,x=-sqrt(7/2)+2
Find the zeros of completesquare 8x-2x^2=1
The zeros of completesquare 8x-2x^2=1 are x=sqrt(7/2)+2,x=-sqrt(7/2)+2