Question

Solve: x4 − 5x3 + 11x2 − 25x + 30 = 0

2,3, (+/-)sqrt 5
2, 3, -5i, 5i
2,3,(+-)i sqrt 5
No solutions

Answer 1

is it x^4 ?

Answer 2

yea x^4-5x^3+11x^2-25x+30=0

Answer 3

okay it can be done, your third option is correct, x=2,3,(+-)sqrt(5)i

Answer 4

i thought it was the second option

Answer 5

thats not what i got out, i could do it by hand but i cant put that up for you

Answer 6

can you use the drawing pad?

Answer 7

ill give it a crack

Answer 8

if you factorise it you should get to (x^2+5)(x-2)(x-3) is that where your having difficulty ?

Answer 9

i just forgot how to do the whole thing

Answer 10

haha alright. you have to find a value of x such that it results in 0, its just trial and error without a calculator. so using 2 as that factor there is a rule stating that because p(2)=0 then (x-2) must be a factor

Answer 11

wered you get the x & what happened to the zero

Answer 12

in your equation x^4-5x^3+11x^2-25x+30=0, substituting x as two will satisfy this

Answer 13

therefore the rule states that (x-2) is then a factor

Answer 14

im sorry im a visual learner i need a step by step picture