What are the solutions to the equation completesquare u^2+14u ?

The solutions to the equation completesquare u^2+14u are (u+7)^2-49

Find the zeros of completesquare u^2+14u

The zeros of completesquare u^2+14u are (u+7)^2-49

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complete the square

u^{2} + 14 u

(u + 7)^{2} - 49

Solution steps

u^{2} + 14 u

Write

u^{2} + 14 u

in the form:

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

2 a = 14 : a = 7

Add and subtract

7^{2}

u^{2} + 14 u + 7^{2} - 7^{2}

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

u^{2} + 14 u + 7^{2} = (u + 7)^{2}

(u + 7)^{2} - 7^{2}

Simplify

(u + 7)^{2} - 49

b^{2} = 1

(2 x + 3) (3 x - 2) = 0

\frac{x ^{2} - x + 1}{4} = 0

x^{2} + 23 x + 76 = 0

8 x^{2} + 3 = 0

What are the solutions to the equation completesquare u^2+14u ?
The solutions to the equation completesquare u^2+14u are (u+7)^2-49
Find the zeros of completesquare u^2+14u
The zeros of completesquare u^2+14u are (u+7)^2-49