What are the solutions to the equation completesquare u^2-18u ?

The solutions to the equation completesquare u^2-18u are (u-9)^2-81

Find the zeros of completesquare u^2-18u

The zeros of completesquare u^2-18u are (u-9)^2-81

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complete the square

u^{2} - 18 u

(u - 9)^{2} - 81

Solution steps

u^{2} - 18 u

Write

u^{2} - 18 u

in the form:

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

2 a = - 18 : a = - 9

Add and subtract

(- 9)^{2}

u^{2} - 18 u + (- 9)^{2} - (- 9)^{2}

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

u^{2} - 18 u + (- 9)^{2} = (u - 9)^{2}

(u - 9)^{2} - (- 9)^{2}

Simplify

(u - 9)^{2} - 81

9 - y^{2} = 0

(x - 2)^{2} + 4 (x - 2) = 0

2 x^{2} + x - 15 = 0

3 (x - 6)^{2} + 4 = 0

lo g_{3} (81) = x^{2}

What are the solutions to the equation completesquare u^2-18u ?
The solutions to the equation completesquare u^2-18u are (u-9)^2-81
Find the zeros of completesquare u^2-18u
The zeros of completesquare u^2-18u are (u-9)^2-81