What are the solutions to the equation completesquare x^2+20x+5 ?

The solutions to the equation completesquare x^2+20x+5 are (x+10)^2-95

Find the zeros of completesquare x^2+20x+5

The zeros of completesquare x^2+20x+5 are (x+10)^2-95

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complete the square

x^{2} + 20 x + 5

(x + 10)^{2} - 95

Solution steps

x^{2} + 20 x + 5

Write

x^{2} + 20 x + 5

in the form:

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

2 a = 20 : a = 10

Add and subtract

1 0^{2}

x^{2} + 20 x + 5 + 1 0^{2} - 1 0^{2}

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

x^{2} + 20 x + 1 0^{2} = (x + 10)^{2}

(x + 10)^{2} + 5 - 1 0^{2}

Simplify

(x + 10)^{2} - 95

x (400 - x) = 10000

12 = x (x + 3)

k^{2} - 2 k - 8 = 0

(4 - x)^{2} = 0

x^{2} + \frac{3}{2} x = 1

What are the solutions to the equation completesquare x^2+20x+5 ?
The solutions to the equation completesquare x^2+20x+5 are (x+10)^2-95
Find the zeros of completesquare x^2+20x+5
The zeros of completesquare x^2+20x+5 are (x+10)^2-95