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

0 = 3 x^{2} - 8 x

4 x^{2} - 25

y^{2} - 8 y = - 11

2 x^{2} - 16 = - 12 x

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

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