What are the solutions to the equation completesquare u^2-6u ?

The solutions to the equation completesquare u^2-6u are (u-3)^2-9

Find the zeros of completesquare u^2-6u

The zeros of completesquare u^2-6u are (u-3)^2-9

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complete the square

u^{2} - 6 u

(u - 3)^{2} - 9

Solution steps

u^{2} - 6 u

Write

u^{2} - 6 u

in the form:

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

2 a = - 6 : a = - 3

Add and subtract

(- 3)^{2}

u^{2} - 6 u + (- 3)^{2} - (- 3)^{2}

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

u^{2} - 6 u + (- 3)^{2} = (u - 3)^{2}

(u - 3)^{2} - (- 3)^{2}

Simplify

(u - 3)^{2} - 9

2 - x^{2} = 2 - x

\frac{x ^{2} - 1}{4} - \frac{3 x - 1}{6} = \frac{x}{2}

k^{2} + 3 k = 18

x^{2} - 2 = 14

x^{2} - 2 = 34

What are the solutions to the equation completesquare u^2-6u ?
The solutions to the equation completesquare u^2-6u are (u-3)^2-9
Find the zeros of completesquare u^2-6u
The zeros of completesquare u^2-6u are (u-3)^2-9