What are the solutions to the equation completesquare 3x^2+12x+10=0 ?

The solutions to the equation completesquare 3x^2+12x+10=0 are x=sqrt(2/3)-2,x=-sqrt(2/3)-2

Find the zeros of completesquare 3x^2+12x+10=0

The zeros of completesquare 3x^2+12x+10=0 are x=sqrt(2/3)-2,x=-sqrt(2/3)-2

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3 x^{2} + 12 x + 10 = 0

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

Decimal

x = - 1.18350 \dots, x = - 2.81649 \dots

Solution steps

3 x^{2} + 12 x + 10 = 0

Move

10

to the right side

3 x^{2} + 12 x = - 10

Divide both sides by

3

\frac{3 x ^{2} + 12 x}{3} = \frac{- 10}{3}

x^{2} + 4 x = - \frac{10}{3}

Rewrite in the form

(x + a)^{2} = b

(x + 2)^{2} = \frac{2}{3}

For

the solutions are

f (x) = a, - a

Solve

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

Solve

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

The solutions to the quadratic equation are:

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

7 x^{2} + 9 x + 1 = 0

(x - 1)^{2} = 6

6 x^{2} + \frac{5}{2} x + \frac{1}{4} = 0

x^{2} + 5 x - 30 = 0

12 x^{2} - 2 x - 2 = 0

What are the solutions to the equation completesquare 3x^2+12x+10=0 ?
The solutions to the equation completesquare 3x^2+12x+10=0 are x=sqrt(2/3)-2,x=-sqrt(2/3)-2
Find the zeros of completesquare 3x^2+12x+10=0
The zeros of completesquare 3x^2+12x+10=0 are x=sqrt(2/3)-2,x=-sqrt(2/3)-2