What are the solutions to the equation completesquare z^2+4z ?

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

Find the zeros of completesquare z^2+4z

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

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complete the square

z^{2} + 4 z

(z + 2)^{2} - 4

Solution steps

z^{2} + 4 z

Write

z^{2} + 4 z

in the form:

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

2 a = 4 : a = 2

Add and subtract

2^{2}

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

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

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

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

Simplify

(z + 2)^{2} - 4

x^{2} + (\frac{4 - x}{2})^{2} = 16

3 x^{2} = 81

m p^{2} + 2 m + n p^{2} = 2 n

- 3 x^{2} + 49 x = - 5 x + 183

3 x^{2} - 6 x - 10

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