What are the solutions to the equation completesquare 3x^2+48x+183=0 ?

The solutions to the equation completesquare 3x^2+48x+183=0 are x=sqrt(3)-8,x=-sqrt(3)-8

Find the zeros of completesquare 3x^2+48x+183=0

The zeros of completesquare 3x^2+48x+183=0 are x=sqrt(3)-8,x=-sqrt(3)-8

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3 x^{2} + 48 x + 183 = 0

x = 3 - 8, x = - 3 - 8

Decimal Notation

x = - 6.26794 \dots, x = - 9.73205 \dots

Solution steps

3 x^{2} + 48 x + 183 = 0

Move

183

to the right side

3 x^{2} + 48 x = - 183

Divide both sides by

3

\frac{3 x ^{2} + 48 x}{3} = \frac{- 183}{3}

x^{2} + 16 x = - 61

Rewrite in the form

(x + a)^{2} = b

(x + 8)^{2} = 3

For

the solutions are

f (x) = a, - a

Solve

x + 8 = 3 : x = 3 - 8

Solve

x + 8 = - 3 : x = - 3 - 8

The solutions to the quadratic equation are:

x = 3 - 8, x = - 3 - 8

y^{2} - 5 y + 1 = 0

x^{2} + 8 x - 40 = 0

8 y^{2} + y + 2 = 0

- 20 x^{2} = - 7 x - 6

x^{2} + 7 x = 32

What are the solutions to the equation completesquare 3x^2+48x+183=0 ?
The solutions to the equation completesquare 3x^2+48x+183=0 are x=sqrt(3)-8,x=-sqrt(3)-8
Find the zeros of completesquare 3x^2+48x+183=0
The zeros of completesquare 3x^2+48x+183=0 are x=sqrt(3)-8,x=-sqrt(3)-8