What are the solutions to the equation completesquare x^2-8x+9 ?

The solutions to the equation completesquare x^2-8x+9 are (x-4)^2-7

Find the zeros of completesquare x^2-8x+9

The zeros of completesquare x^2-8x+9 are (x-4)^2-7

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complete the square

x^{2} - 8 x + 9

(x - 4)^{2} - 7

Solution steps

x^{2} - 8 x + 9

Write

x^{2} - 8 x + 9

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x + 9 + (- 4)^{2} - (- 4)^{2}

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

x^{2} - 8 x + (- 4)^{2} = (x - 4)^{2}

(x - 4)^{2} + 9 - (- 4)^{2}

Simplify

(x - 4)^{2} - 7

x^{2} - 8 x + 2

x^{2} - 10 x + 18 = 0

(x + 3) (x - 5) = 5

- 5 = - (x - 2)^{2} + 4

2 x (2 x - 1) = 30

What are the solutions to the equation completesquare x^2-8x+9 ?
The solutions to the equation completesquare x^2-8x+9 are (x-4)^2-7
Find the zeros of completesquare x^2-8x+9
The zeros of completesquare x^2-8x+9 are (x-4)^2-7