What are the solutions to the equation completesquare x^2+4x+5=0 ?

The solutions to the equation completesquare x^2+4x+5=0 are x=i-2,x=-i-2

Find the zeros of completesquare x^2+4x+5=0

The zeros of completesquare x^2+4x+5=0 are x=i-2,x=-i-2

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

x = i - 2, x = - i - 2

Solution steps

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

Move

5

to the right side

x^{2} + 4 x = - 5

Rewrite in the form

(x + a)^{2} = b

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

For

the solutions are

f (x) = a, - a

Solve

x + 2 = - 1 : x = i - 2

Solve

x + 2 = - - 1 : x = - i - 2

The solutions to the quadratic equation are:

x = i - 2, x = - i - 2

(x + 5) (x - 8) = 0

5 z^{2} - 14 z - 3 = 0

2 x^{2} - x - 3

2 x^{2} - x - 6

(2 x + 3)^{2} = 9

What are the solutions to the equation completesquare x^2+4x+5=0 ?
The solutions to the equation completesquare x^2+4x+5=0 are x=i-2,x=-i-2
Find the zeros of completesquare x^2+4x+5=0
The zeros of completesquare x^2+4x+5=0 are x=i-2,x=-i-2