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

x^{2} + 19 x + 3 = - 10

6 x^{2} - 6 x = - 1

x^{2} + 13 x - 7 = 0

x^{2} + 8 x + 25

(x + 3) (x + 9) = 0

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