What are the solutions to the equation completesquare u^2-2u ?

The solutions to the equation completesquare u^2-2u are (u-1)^2-1

Find the zeros of completesquare u^2-2u

The zeros of completesquare u^2-2u are (u-1)^2-1

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complete the square

u^{2} - 2 u

(u - 1)^{2} - 1

Solution steps

u^{2} - 2 u

Write

u^{2} - 2 u

in the form:

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

u^{2} - 2 u + (- 1)^{2} - (- 1)^{2}

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

u^{2} - 2 u + (- 1)^{2} = (u - 1)^{2}

(u - 1)^{2} - (- 1)^{2}

Simplify

(u - 1)^{2} - 1

(4 x + 5)^{2} = 9

6 x^{2} + 10 x = 0

- 1 - 3 a^{2} = - 4

4 (t + 1)^{2} = 9

x^{2} - 10 = 90

What are the solutions to the equation completesquare u^2-2u ?
The solutions to the equation completesquare u^2-2u are (u-1)^2-1
Find the zeros of completesquare u^2-2u
The zeros of completesquare u^2-2u are (u-1)^2-1