What are the solutions to the equation completesquare-3x^2+2x+3=0 ?

The solutions to the equation completesquare-3x^2+2x+3=0 are x=(sqrt(10)+1)/3 ,x=(-sqrt(10)+1)/3

Find the zeros of completesquare-3x^2+2x+3=0

The zeros of completesquare-3x^2+2x+3=0 are x=(sqrt(10)+1)/3 ,x=(-sqrt(10)+1)/3

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

x = \frac{10 + 1}{3}, x = \frac{- 10 + 1}{3}

Decimal Notation

x = 1.38742 \dots, x = - 0.72075 \dots

Solution steps

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

Move

3

to the right side

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

Divide both sides by

- 3

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

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

Rewrite in the form

(x + a)^{2} = b

(x - \frac{1}{3})^{2} = \frac{10}{9}

For

the solutions are

f (x) = a, - a

Solve

x - \frac{1}{3} = \frac{10}{9} : x = \frac{10 + 1}{3}

Solve

x - \frac{1}{3} = - \frac{10}{9} : x = \frac{- 10 + 1}{3}

The solutions to the quadratic equation are:

x = \frac{10 + 1}{3}, x = \frac{- 10 + 1}{3}

b (w) = 4 w^{2} + 5 w + 100

\frac{x ^{2}}{16} = 1

x^{2} - 2 x + 28 = 0

y, y + y^{2} = t^{2} - 4

3 r^{2} - 6 r = 13

What are the solutions to the equation completesquare-3x^2+2x+3=0 ?
The solutions to the equation completesquare-3x^2+2x+3=0 are x=(sqrt(10)+1)/3 ,x=(-sqrt(10)+1)/3
Find the zeros of completesquare-3x^2+2x+3=0
The zeros of completesquare-3x^2+2x+3=0 are x=(sqrt(10)+1)/3 ,x=(-sqrt(10)+1)/3