Question

z²-6z-27=0
Find the solutions of the equation. (I need a quick walk though)

Answer 1

@Directrix do you have time?

Answer 2

@jim_thompson5910

Answer 3

i didnt think that would give me the answer

Answer 4

yeah i think it does factor

Answer 5

how? im not that good at factoring

Answer 6

Look for two numbers that multiply to -27 and add to -6.

(z - ?) * (z + ?)

@JaneDoe100

Answer 7

3 -9

Answer 8

@Directrix is that all i need to do?

Answer 9

Those are not the final factors of z²-6z-27=0.

z²-6z-27=0
(z - 9) * (z + 3) = 0
Use the Zero Product Property to write:

(z - 9) = 0 or (z + 3) = 0

Solve each of those two equations for z.
Those two values will be your solutions.

Answer 10

9 and -3

Answer 11

That is what I got.