What are the solutions to the equation completesquare 2x^2-8x-1=0 ?

The solutions to the equation completesquare 2x^2-8x-1=0 are x= 3/(sqrt(2))+2,x=-3/(sqrt(2))+2

Find the zeros of completesquare 2x^2-8x-1=0

The zeros of completesquare 2x^2-8x-1=0 are x= 3/(sqrt(2))+2,x=-3/(sqrt(2))+2

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2 x^{2} - 8 x - 1 = 0

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

Decimal Notation

x = 4.12132 \dots, x = - 0.12132 \dots

Solution steps

2 x^{2} - 8 x - 1 = 0

Move

1

to the right side

2 x^{2} - 8 x = 1

Divide both sides by

2

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

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

Rewrite in the form

(x + a)^{2} = b

(x - 2)^{2} = \frac{9}{2}

For

the solutions are

f (x) = a, - a

Solve

x - 2 = \frac{9}{2} : x = \frac{3}{2} + 2

Solve

x - 2 = - \frac{9}{2} : x = - \frac{3}{2} + 2

The solutions to the quadratic equation are:

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

4 r^{2} - 19 r + 21 = 2

x^{2} + 26 x - 15 = 0

- 3 x^{2} + 5 x - 15 = - 4 x^{2}

x^{2} - 8 x + 16 = 10

- 16 t^{2} - 16 = 0

What are the solutions to the equation completesquare 2x^2-8x-1=0 ?
The solutions to the equation completesquare 2x^2-8x-1=0 are x= 3/(sqrt(2))+2,x=-3/(sqrt(2))+2
Find the zeros of completesquare 2x^2-8x-1=0
The zeros of completesquare 2x^2-8x-1=0 are x= 3/(sqrt(2))+2,x=-3/(sqrt(2))+2