What are the solutions to the equation completesquare x^2-10x+44 ?

The solutions to the equation completesquare x^2-10x+44 are (x-5)^2+19

Find the zeros of completesquare x^2-10x+44

The zeros of completesquare x^2-10x+44 are (x-5)^2+19

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complete the square

x^{2} - 10 x + 44

(x - 5)^{2} + 19

Solution steps

x^{2} - 10 x + 44

Write

x^{2} - 10 x + 44

in the form:

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

2 a = - 10 : a = - 5

Add and subtract

(- 5)^{2}

x^{2} - 10 x + 44 + (- 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} + 44 - (- 5)^{2}

Simplify

(x - 5)^{2} + 19

5 x^{2} - 2 x = 0

2 m^{2} - 3 m - 2 = 0

0 = 9 x^{2} - 25

(2 x + 10) (3 x - 1) = 150

x^{2} + 3 x - 28 = 0

What are the solutions to the equation completesquare x^2-10x+44 ?
The solutions to the equation completesquare x^2-10x+44 are (x-5)^2+19
Find the zeros of completesquare x^2-10x+44
The zeros of completesquare x^2-10x+44 are (x-5)^2+19