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

(1 - 3) x^{2} - (3 + 1) x - 2 = 0

3 x^{2} + 12 = 3

5 x^{2} - x - 108 = 0

(x + 2) 2 - x^{2} = 60

4 x^{2} - \frac{5}{2} x - 3 = 0

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