Question

marco says that the solutions of the equation x^2_6x+13=0 are x=-1 and x=-5. Is marco correct? If so, verify his solutions by solving the equation for x over the set of complex numbers. If not, explain his error and provide the correct solutions

Answer 1

so first we need to test if he is correct or not. Lets see if the Quadratic is factorable. Well it isn't so we have to use the quadratic formula

Answer 2

i do not think his work is correct

Answer 3

oh ok, so his work is definitely not correct, good job

Answer 4

what you do is plug the function into the quadratic formula and then solve for the x intercepts

Answer 5

is this the equation?
x^2+6x+13=0

Answer 6

yes

Answer 7

Ill walk u through
x^2+6x+13=0
so then you get (-6 (plus/minus) sqrt(36-52))/2 (I did the math simplified)
simplify to get -6 (plus/minus) sqrt(-16))/2
-6 (plus/minus) sqrt of 4i)/2
-3 (plus/minus) sqrt of 2i.
put it back in the quadratic formula to check this answer. And his work is wrong

Answer 8

I am the darkknight

Answer 9

thank you so much