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

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

x^{2} + 200 x + 100000 = 0

3 x^{2} - 21 x + 27 = 0

(x + 2) (x - 1) = 5

(16 - 2 x) (9 - 2 x) = 78

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