Question

help

Answer 1

divide by 5 and move everything to one side
x^2 + 6x + 13 = 0

Answer 2

\(\large\color{black}{5x^2 = -30x - 65 }\)
add 30x and then 65 to both sides
\(\large\color{black}{5x^2 + 30x + 65=0 }\)
divide each term in equation by 5.
\(\large\color{black}{x^2 + 6x + 13=0 }\)

Answer 3

divide everything by 5

Answer 4

and then you'll have to use the quadratic equation to solve for x

Answer 5

you can't factor it, so I would complete the square. subtract 4 from both sides.

Answer 6

all your answers are imaginary.

Answer 7

That works too

Answer 8

\(\large\color{black}{x^2 + 6x + 13=0 }\)
\(\large\color{black}{x^2 + 6x + 13-4=0-4 }\)
\(\large\color{black}{x^2 + 6x + 9=-4 }\)

Answer 9

go on...

Answer 10

what is the square root of -4?

have you learned about imaginary numbers (such as i) ?