What are the solutions to the equation completesquare x^2+6x+5 ?

The solutions to the equation completesquare x^2+6x+5 are (x+3)^2-4

Find the zeros of completesquare x^2+6x+5

The zeros of completesquare x^2+6x+5 are (x+3)^2-4

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complete the square

x^{2} + 6 x + 5

(x + 3)^{2} - 4

Solution steps

x^{2} + 6 x + 5

Write

x^{2} + 6 x + 5

in the form:

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

2 a = 6 : a = 3

Add and subtract

3^{2}

x^{2} + 6 x + 5 + 3^{2} - 3^{2}

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

x^{2} + 6 x + 3^{2} = (x + 3)^{2}

(x + 3)^{2} + 5 - 3^{2}

Simplify

(x + 3)^{2} - 4

x^{2} + 6 x + 8 = 0

x, (x + y)^{3} = x^{3} + y^{3}

6 x^{2} + 125 = x^{2}

2 d^{2} + 5 d - 5 = - d

(x + 1) (x - 2) + x^{2} = 0

What are the solutions to the equation completesquare x^2+6x+5 ?
The solutions to the equation completesquare x^2+6x+5 are (x+3)^2-4
Find the zeros of completesquare x^2+6x+5
The zeros of completesquare x^2+6x+5 are (x+3)^2-4