What are the solutions to the equation completesquare-7z^2-56z ?

The solutions to the equation completesquare-7z^2-56z are -7(z+4)^2+112

Find the zeros of completesquare-7z^2-56z

The zeros of completesquare-7z^2-56z are -7(z+4)^2+112

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complete the square

- 7 z^{2} - 56 z

- 7 (z + 4)^{2} + 112

Solution steps

- 7 z^{2} - 56 z

Write

- 7 z^{2} - 56 z

in the form:

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

Factor out

- 7

- 7 (z^{2} + 8 z)

2 a = 8 : a = 4

Add and subtract

4^{2}

- 7 (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}

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

Simplify

- 7 (z + 4)^{2} + 112

x^{2} + 50 x + 2600 = 0

x, e x = d (x^{2} - g)

1 0^{2} + x^{2} = 2 5^{2}

6 x^{2} - 7 x = 20

x, x^{2} + y^{2} - 8 x + 27 - 8 = 0

What are the solutions to the equation completesquare-7z^2-56z ?
The solutions to the equation completesquare-7z^2-56z are -7(z+4)^2+112
Find the zeros of completesquare-7z^2-56z
The zeros of completesquare-7z^2-56z are -7(z+4)^2+112