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

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

Find the zeros of completesquare z^2-4z+4

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

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complete the square

z^{2} - 4 z + 4

(z - 2)^{2}

Solution steps

z^{2} - 4 z + 4

Write

z^{2} - 4 z + 4

in the form:

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

Simplify

(z - 2)^{2}

x, \frac{x ^{2}}{1.62} = 5.56 \cdot 1 0^{- 10}

x, 6 x^{2} + 9 y^{2} - 24 x - 54 y + 105 = 0

x^{2} + 5 \cdot x + 6 = 0

3 x^{2} + x = - 1

d^{2} + 14 d + 49 = 0

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