What are the solutions to the equation completesquare z^2+8z ?

The solutions to the equation completesquare z^2+8z are (z+4)^2-16

Find the zeros of completesquare z^2+8z

The zeros of completesquare z^2+8z are (z+4)^2-16

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complete the square

z^{2} + 8 z

(z + 4)^{2} - 16

Solution steps

z^{2} + 8 z

Write

z^{2} + 8 z

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

z^{2} + 8 z + 4^{2} - 4^{2}

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

z^{2} + 8 z + 4^{2} = (z + 4)^{2}

(z + 4)^{2} - 4^{2}

Simplify

(z + 4)^{2} - 16

z^{2} + 2 z

b^{2} = 25

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

x (x + 6) = - 5

12 + x - x^{2} = 0

What are the solutions to the equation completesquare z^2+8z ?
The solutions to the equation completesquare z^2+8z are (z+4)^2-16
Find the zeros of completesquare z^2+8z
The zeros of completesquare z^2+8z are (z+4)^2-16