What are the solutions to the equation completesquare w^2-10w ?

The solutions to the equation completesquare w^2-10w are (w-5)^2-25

Find the zeros of completesquare w^2-10w

The zeros of completesquare w^2-10w are (w-5)^2-25

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complete the square

w^{2} - 10 w

(w - 5)^{2} - 25

Solution steps

w^{2} - 10 w

Write

w^{2} - 10 w

in the form:

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

2 a = - 10 : a = - 5

Add and subtract

(- 5)^{2}

w^{2} - 10 w + (- 5)^{2} - (- 5)^{2}

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

w^{2} - 10 w + (- 5)^{2} = (w - 5)^{2}

(w - 5)^{2} - (- 5)^{2}

Simplify

(w - 5)^{2} - 25

r^{2} + r - 4 = 0

(h + 1)^{2} = 16

x^{2} + 11 x = 180

a^{2} + 7 a = 0

x^{2} + (\frac{3}{2})^{2} = 9

What are the solutions to the equation completesquare w^2-10w ?
The solutions to the equation completesquare w^2-10w are (w-5)^2-25
Find the zeros of completesquare w^2-10w
The zeros of completesquare w^2-10w are (w-5)^2-25