What are the solutions to the equation completesquare u^2-12u ?

The solutions to the equation completesquare u^2-12u are (u-6)^2-36

Find the zeros of completesquare u^2-12u

The zeros of completesquare u^2-12u are (u-6)^2-36

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complete the square

u^{2} - 12 u

(u - 6)^{2} - 36

Solution steps

u^{2} - 12 u

Write

u^{2} - 12 u

in the form:

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

2 a = - 12 : a = - 6

Add and subtract

(- 6)^{2}

u^{2} - 12 u + (- 6)^{2} - (- 6)^{2}

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

u^{2} - 12 u + (- 6)^{2} = (u - 6)^{2}

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

Simplify

(u - 6)^{2} - 36

4 x^{2} - 5 = 11 x

x^{2} - 19 = 30

5 (x - 3)^{2} = 45

- x^{2} + 8 x = 16

9 x^{2} + 21 x = 0

What are the solutions to the equation completesquare u^2-12u ?
The solutions to the equation completesquare u^2-12u are (u-6)^2-36
Find the zeros of completesquare u^2-12u
The zeros of completesquare u^2-12u are (u-6)^2-36