What are the solutions to the equation completesquare x^2-18x+82 ?

The solutions to the equation completesquare x^2-18x+82 are (x-9)^2+1

Find the zeros of completesquare x^2-18x+82

The zeros of completesquare x^2-18x+82 are (x-9)^2+1

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complete the square

x^{2} - 18 x + 82

(x - 9)^{2} + 1

Solution steps

x^{2} - 18 x + 82

Write

x^{2} - 18 x + 82

in the form:

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

2 a = - 18 : a = - 9

Add and subtract

(- 9)^{2}

x^{2} - 18 x + 82 + (- 9)^{2} - (- 9)^{2}

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

x^{2} - 18 x + (- 9)^{2} = (x - 9)^{2}

(x - 9)^{2} + 82 - (- 9)^{2}

Simplify

(x - 9)^{2} + 1

x, x^{2} y^{2} + 2 x - 6 = 0

6 x^{2} - x + 6 = 0

3 x^{2} - 48 x + 180 = 0

42 x^{2} - 36 x + 6 = 0

r, r^{2} + t^{2} = r (t)^{2}

What are the solutions to the equation completesquare x^2-18x+82 ?
The solutions to the equation completesquare x^2-18x+82 are (x-9)^2+1
Find the zeros of completesquare x^2-18x+82
The zeros of completesquare x^2-18x+82 are (x-9)^2+1