What are the solutions to the equation completesquare x^2-10x+26 ?

The solutions to the equation completesquare x^2-10x+26 are (x-5)^2+1

Find the zeros of completesquare x^2-10x+26

The zeros of completesquare x^2-10x+26 are (x-5)^2+1

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complete the square

x^{2} - 10 x + 26

(x - 5)^{2} + 1

Solution steps

x^{2} - 10 x + 26

Write

x^{2} - 10 x + 26

in the form:

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

2 a = - 10 : a = - 5

Add and subtract

(- 5)^{2}

x^{2} - 10 x + 26 + (- 5)^{2} - (- 5)^{2}

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

x^{2} - 10 x + (- 5)^{2} = (x - 5)^{2}

(x - 5)^{2} + 26 - (- 5)^{2}

Simplify

(x - 5)^{2} + 1

4 x^{2} - 64 = 17

x^{2} + 10 x + 32 = 0

(x - 9)^{2} = 13

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

- 2 x^{2} + 7 x - 6 = 0

What are the solutions to the equation completesquare x^2-10x+26 ?
The solutions to the equation completesquare x^2-10x+26 are (x-5)^2+1
Find the zeros of completesquare x^2-10x+26
The zeros of completesquare x^2-10x+26 are (x-5)^2+1