What are the solutions to the equation completesquare w^2+6w ?

The solutions to the equation completesquare w^2+6w are (w+3)^2-9

Find the zeros of completesquare w^2+6w

The zeros of completesquare w^2+6w are (w+3)^2-9

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complete the square

w^{2} + 6 w

(w + 3)^{2} - 9

Solution steps

w^{2} + 6 w

Write

w^{2} + 6 w

in the form:

x^{2} + 2 a x + a^{2}

2 a = 6 : a = 3

Add and subtract

3^{2}

w^{2} + 6 w + 3^{2} - 3^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

w^{2} + 6 w + 3^{2} = (w + 3)^{2}

(w + 3)^{2} - 3^{2}

Simplify

(w + 3)^{2} - 9

- 7 + x^{2} - 5 x = - 4

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

x^{2} - 3 x + 1 = 10

x (x - 12) = - 36

x^{2} - 11 x = 30

What are the solutions to the equation completesquare w^2+6w ?
The solutions to the equation completesquare w^2+6w are (w+3)^2-9
Find the zeros of completesquare w^2+6w
The zeros of completesquare w^2+6w are (w+3)^2-9