What are the solutions to the equation completesquare z^2-6z ?

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

Find the zeros of completesquare z^2-6z

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

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complete the square

z^{2} - 6 z

(z - 3)^{2} - 9

Solution steps

z^{2} - 6 z

Write

z^{2} - 6 z

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

z^{2} - 6 z + (- 3)^{2} - (- 3)^{2}

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

z^{2} - 6 z + (- 3)^{2} = (z - 3)^{2}

(z - 3)^{2} - (- 3)^{2}

Simplify

(z - 3)^{2} - 9

z^{2} + 8 z

z^{2} + 2 z

b^{2} = 25

- x^{2} + 8 x + 3 = 0

x (x + 6) = - 5

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