What are the solutions to the equation completesquare x^2-6x+10=0 ?

The solutions to the equation completesquare x^2-6x+10=0 are x=i+3,x=-i+3

Find the zeros of completesquare x^2-6x+10=0

The zeros of completesquare x^2-6x+10=0 are x=i+3,x=-i+3

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x^{2} - 6 x + 10 = 0

x = i + 3, x = - i + 3

Solution steps

x^{2} - 6 x + 10 = 0

Move

10

to the right side

x^{2} - 6 x = - 10

Rewrite in the form

(x + a)^{2} = b

(x - 3)^{2} = - 1

For

the solutions are

f (x) = a, - a

Solve

x - 3 = - 1 : x = i + 3

Solve

x - 3 = - - 1 : x = - i + 3

The solutions to the quadratic equation are:

x = i + 3, x = - i + 3

2 x^{2} + 14 x + 3 = - 17

2 x^{2} - 14 x + 1 = 0

x^{2} - 4 x = 0

4 x^{2} + 24 x - 4 = 0

2 x^{2} - 40 = - 140

What are the solutions to the equation completesquare x^2-6x+10=0 ?
The solutions to the equation completesquare x^2-6x+10=0 are x=i+3,x=-i+3
Find the zeros of completesquare x^2-6x+10=0
The zeros of completesquare x^2-6x+10=0 are x=i+3,x=-i+3