Question

help me solve step by step please! ):

If 3cot^2x - 5cotx = -2, then cotx = _____.

-2, -1/3
-1, -2/3
1, 2/3
2, 1/3

Answer 1

this is a quadratic, move the constant to the left, then use the quadratic formula, and if you dont know how to use cot on your calculator use 1/tanx
or cosx/sinx

Answer 2

so then it would be 3cot^2 - 5cotx +2=0

Answer 3

i would factor it and it would become (3cotx -1) (5cotx-2) =0??

Answer 4

im not quite sure about the factoring part;

Answer 5

it would be easier for you to use the formula lol

Answer 6

if you really wanted to factorise it do it step by step like

Answer 7

is it this formula? https://media.glynlyon.com/g_trg_2013/2/quad_formula.gif

Answer 8

3cot^2x - 5cotx = -2
3cot^2x - 5cotx +2=0

3x2=6
factors of 6
1 6
2 3
what adds to give -5 but multiplies to give 6
-2 x -3

3cot^2x -3cotx -2cotx +2

factorise this
3cotx(cotx-1)-2(cotx-1)

(3cotx-2)(cotx-1)

Answer 9

yes that is the formula