What are the solutions to the equation completesquare 5x^2=2x+1 ?

The solutions to the equation completesquare 5x^2=2x+1 are x=(sqrt(6)+1)/5 ,x=(-sqrt(6)+1)/5

Find the zeros of completesquare 5x^2=2x+1

The zeros of completesquare 5x^2=2x+1 are x=(sqrt(6)+1)/5 ,x=(-sqrt(6)+1)/5

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5 x^{2} = 2 x + 1

x = \frac{6 + 1}{5}, x = \frac{- 6 + 1}{5}

Decimal Notation

x = 0.68989 \dots, x = - 0.28989 \dots

Solution steps

5 x^{2} = 2 x + 1

Move

2 x

to the left side

5 x^{2} - 2 x = 1

Divide both sides by

5

\frac{5 x ^{2} - 2 x}{5} = \frac{1}{5}

x^{2} - \frac{2 x}{5} = \frac{1}{5}

Rewrite in the form

(x + a)^{2} = b

(x - \frac{1}{5})^{2} = \frac{6}{25}

For

the solutions are

f (x) = a, - a

Solve

x - \frac{1}{5} = \frac{6}{25} : x = \frac{6 + 1}{5}

Solve

x - \frac{1}{5} = - \frac{6}{25} : x = \frac{- 6 + 1}{5}

The solutions to the quadratic equation are:

x = \frac{6 + 1}{5}, x = \frac{- 6 + 1}{5}

x^{2} = 24 - 5 x

0 = \frac{12 - x ^{2}}{8}

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

6 x^{2} - 54 x + 36 = 0

b^{2} - 2 b - 15 = 0

What are the solutions to the equation completesquare 5x^2=2x+1 ?
The solutions to the equation completesquare 5x^2=2x+1 are x=(sqrt(6)+1)/5 ,x=(-sqrt(6)+1)/5
Find the zeros of completesquare 5x^2=2x+1
The zeros of completesquare 5x^2=2x+1 are x=(sqrt(6)+1)/5 ,x=(-sqrt(6)+1)/5