What are the solutions to the equation completesquare x^2-4x+9 ?

The solutions to the equation completesquare x^2-4x+9 are (x-2)^2+5

Find the zeros of completesquare x^2-4x+9

The zeros of completesquare x^2-4x+9 are (x-2)^2+5

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complete the square

x^{2} - 4 x + 9

(x - 2)^{2} + 5

Solution steps

x^{2} - 4 x + 9

Write

x^{2} - 4 x + 9

in the form:

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

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

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

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

Simplify

(x - 2)^{2} + 5

x^{2} - 4 x - 3

p^{2} = 169

1.5 x^{2} - 10 x - 16 = 0

x^{2} - 23 x - 50 = 0

5 x^{2} - 4 x + 7 = 0

What are the solutions to the equation completesquare x^2-4x+9 ?
The solutions to the equation completesquare x^2-4x+9 are (x-2)^2+5
Find the zeros of completesquare x^2-4x+9
The zeros of completesquare x^2-4x+9 are (x-2)^2+5