What are the solutions to the equation completesquare x^2-10x+27 ?

The solutions to the equation completesquare x^2-10x+27 are (x-5)^2+2

Find the zeros of completesquare x^2-10x+27

The zeros of completesquare x^2-10x+27 are (x-5)^2+2

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complete the square

x^{2} - 10 x + 27

(x - 5)^{2} + 2

Solution steps

x^{2} - 10 x + 27

Write

x^{2} - 10 x + 27

in the form:

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

2 a = - 10 : a = - 5

Add and subtract

(- 5)^{2}

x^{2} - 10 x + 27 + (- 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} + 27 - (- 5)^{2}

Simplify

(x - 5)^{2} + 2

x^{2} - 10 x + 18

t, p = 25 t^{2} + 72 t + 100

2 x^{2} = 3 x + 7

9 x^{2} - 4 x = 2

x, x^{2} + 4 y^{2} = - \frac{2}{5} x - \frac{4}{5} y + 4

What are the solutions to the equation completesquare x^2-10x+27 ?
The solutions to the equation completesquare x^2-10x+27 are (x-5)^2+2
Find the zeros of completesquare x^2-10x+27
The zeros of completesquare x^2-10x+27 are (x-5)^2+2