What are the solutions to the equation completesquare x^2-10x-9 ?

The solutions to the equation completesquare x^2-10x-9 are (x-5)^2-34

Find the zeros of completesquare x^2-10x-9

The zeros of completesquare x^2-10x-9 are (x-5)^2-34

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complete the square

x^{2} - 10 x - 9

(x - 5)^{2} - 34

Solution steps

x^{2} - 10 x - 9

Write

x^{2} - 10 x - 9

in the form:

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

2 a = - 10 : a = - 5

Add and subtract

(- 5)^{2}

x^{2} - 10 x - 9 + (- 5)^{2} - (- 5)^{2}

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

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

(x - 5)^{2} - 9 - (- 5)^{2}

Simplify

(x - 5)^{2} - 34

x^{2} - 10 x - 7

(- 0.02083 x^{2}) + 4 x - 170 = 0

x^{2} - x + 2

x^{2} + \frac{3}{2} x + \frac{9}{16} = 0

x^{2} + 8 x - 8 = 25

What are the solutions to the equation completesquare x^2-10x-9 ?
The solutions to the equation completesquare x^2-10x-9 are (x-5)^2-34
Find the zeros of completesquare x^2-10x-9
The zeros of completesquare x^2-10x-9 are (x-5)^2-34