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

The solutions to the equation completesquare 3+x=x^2+3x are x=1,x=-3

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

The zeros of completesquare 3+x=x^2+3x are x=1,x=-3

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

x = 1, x = - 3

Solution steps

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

Switch sides

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

Move

x

to the left side

x^{2} + 2 x = 3

Rewrite in the form

(x + a)^{2} = b

(x + 1)^{2} = 4

For

the solutions are

f (x) = a, - a

Solve

x + 1 = 4 : x = 1

Solve

x + 1 = - 4 : x = - 3

The solutions to the quadratic equation are:

x = 1, x = - 3

x^{2} + 2 x + 17

0 = x^{2} + 20 x - 60

b x^{2} - b = x - b^{2} x

3 (x^{2} - 7) - 4 = - 7

x^{2} - 31 = 2 x

What are the solutions to the equation completesquare 3+x=x^2+3x ?
The solutions to the equation completesquare 3+x=x^2+3x are x=1,x=-3
Find the zeros of completesquare 3+x=x^2+3x
The zeros of completesquare 3+x=x^2+3x are x=1,x=-3