What are the solutions to the equation completesquare u^2+8u ?

The solutions to the equation completesquare u^2+8u are (u+4)^2-16

Find the zeros of completesquare u^2+8u

The zeros of completesquare u^2+8u are (u+4)^2-16

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complete the square

u^{2} + 8 u

(u + 4)^{2} - 16

Solution steps

u^{2} + 8 u

Write

u^{2} + 8 u

in the form:

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

2 a = 8 : a = 4

Add and subtract

4^{2}

u^{2} + 8 u + 4^{2} - 4^{2}

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

u^{2} + 8 u + 4^{2} = (u + 4)^{2}

(u + 4)^{2} - 4^{2}

Simplify

(u + 4)^{2} - 16

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

u^{2} + 2 u

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

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

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

What are the solutions to the equation completesquare u^2+8u ?
The solutions to the equation completesquare u^2+8u are (u+4)^2-16
Find the zeros of completesquare u^2+8u
The zeros of completesquare u^2+8u are (u+4)^2-16