What are the solutions to the equation completesquare x^2+10x+23 ?

The solutions to the equation completesquare x^2+10x+23 are (x+5)^2-2

Find the zeros of completesquare x^2+10x+23

The zeros of completesquare x^2+10x+23 are (x+5)^2-2

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complete the square

x^{2} + 10 x + 23

(x + 5)^{2} - 2

Solution steps

x^{2} + 10 x + 23

Write

x^{2} + 10 x + 23

in the form:

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

2 a = 10 : a = 5

Add and subtract

5^{2}

x^{2} + 10 x + 23 + 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} + 23 - 5^{2}

Simplify

(x + 5)^{2} - 2

(x - 12)^{2} = 54

y^{2} = - 3

0 = 12 x^{2} - 88 x + 112

2 x^{2} + 7 x + 4 = 8

4 x^{2} = - 10 x - 3

What are the solutions to the equation completesquare x^2+10x+23 ?
The solutions to the equation completesquare x^2+10x+23 are (x+5)^2-2
Find the zeros of completesquare x^2+10x+23
The zeros of completesquare x^2+10x+23 are (x+5)^2-2