Question

Solve the equation (x+1)(x+2)(x+3)(x+4)=360

Answer 1

just tell me the starting i'll do the rest

Answer 2

is anyone helpin ??

Answer 3

For this equation, you can expand that left side then move the 360 over to the left. Then you can use synthetic division to try and factor to find the solution.

Answer 4

(y+4)(y+6)=360

Answer 5

where did the x's go? expand: (x+1)(x+2)(x+3)(x+4)

Answer 6

I used a trick

Answer 7

oh... sorry... i'm not familiar with that trick.... can you show me how?

Answer 8

rearranged the terms (x+1)(x+4)(x+3)(x+2)=360
(x^2+5x+4)(x^2+5x+6)-360=0
let y=x^2+5x
(y+4)(y+6)-360=0

Answer 9

ok...
you'll still need to expand that left side involving y's though....

Answer 10

I solved the equation and got
\[{2,-7,\frac{ -5\pm \sqrt{-71} }{ 2 }}\]

Answer 11

oh... you're also looking for complex roots? i was only looking for real ones.. and those first two are the ones i got....

nice work!!!

Answer 12

thanks