What are the solutions to the equation completesquare x^2-2sqrt(5)x+9 ?

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

Find the zeros of completesquare x^2-2sqrt(5)x+9

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

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complete the square

x^{2} - 25 x + 9

(x - 5)^{2} + 4

Solution steps

x^{2} - 25 x + 9

Write

x^{2} - 25 x + 9

in the form:

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

2 a = - 25 : a = - 5

Add and subtract

(- 5)^{2}

x^{2} - 25 x + 9 + (- 5)^{2} - (- 5)^{2}

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

x^{2} - 25 x + (- 5)^{2} = (x - 5)^{2}

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

Simplify

(x - 5)^{2} + 4

x^{2} - 2 x = 24

(x - 2)^{2} = 3 x - 2

h^{2} + 5 h = 295

16 z^{2} - 40 z + 31 = 6

- 0.25 x^{2} + 6 x + 20 = 0

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