What are the solutions to the equation completesquare x^2-8x+5 ?

The solutions to the equation completesquare x^2-8x+5 are (x-4)^2-11

Find the zeros of completesquare x^2-8x+5

The zeros of completesquare x^2-8x+5 are (x-4)^2-11

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complete the square

x^{2} - 8 x + 5

(x - 4)^{2} - 11

Solution steps

x^{2} - 8 x + 5

Write

x^{2} - 8 x + 5

in the form:

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

2 a = - 8 : a = - 4

Add and subtract

(- 4)^{2}

x^{2} - 8 x + 5 + (- 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} + 5 - (- 4)^{2}

Simplify

(x - 4)^{2} - 11

4 x^{2} - 3 x - 22 = 0

m^{2} - 4 m - 5 = 0

6 x^{2} - 12 x + 24 = 0

9 (3 + 4 x)^{2} = 25

x^{2} - 30 x + 81 = 0

What are the solutions to the equation completesquare x^2-8x+5 ?
The solutions to the equation completesquare x^2-8x+5 are (x-4)^2-11
Find the zeros of completesquare x^2-8x+5
The zeros of completesquare x^2-8x+5 are (x-4)^2-11