Ask your own question, for FREE!
Mathematics 9 Online
OpenStudy (iwanttogotostanford):

HELP PLEA

OpenStudy (iwanttogotostanford):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

The first thing I would do is factor out x f(x) = 9x^3 + 18 x^2 - 135x f(x) = x(9x^2 + 18x - 135)

jimthompson5910 (jim_thompson5910):

now use the quadratic formula to solve 9x^2 + 18x - 135 = 0

satellite73 (satellite73):

after dividing all by 9 to make your life easier

jimthompson5910 (jim_thompson5910):

true, I didn't realize that 9 was also part of the GCF

jimthompson5910 (jim_thompson5910):

f(x) = 9x^3 + 18 x^2 - 135x f(x) = 9x(x^2 + 2x - 15) now solve x^2 + 2x - 15 = 0

OpenStudy (iwanttogotostanford):

can you write out the general steps for me in how to solve these kinds of problems; not necessarily with this one but for any of these problems just so i can have a general reference?

OpenStudy (iwanttogotostanford):

is it just : 1.) factor out x 2.) use quadratic formula?

jimthompson5910 (jim_thompson5910):

in this case, you can factor out 9x

OpenStudy (iwanttogotostanford):

inmost cases can i do that?

jimthompson5910 (jim_thompson5910):

f(x) = 9x^3 + 18 x^2 - 135x f(x) = 9x(x^2 + 2x - 15) ... factor out the GCF 9x set each factor equal to 0 and solve 9x = 0 leads to x = ??? x^2 + 2x - 15 = 0 leads to x = ??? or x = ??? use the quadratic formula to solve the equation x^2 + 2x - 15 = 0

OpenStudy (mathmale):

There are several different approaches to solving quadratic equations. You'd benefit by making a list and learning how to apply each one: quadratic formula factoring factoring by grouping completing the square graphing and so on ... there are others. In this case, regard yourself lucky that 9x can be factored out; no, in general, you will not be that fortunate.

OpenStudy (iwanttogotostanford):

its -b + or - squarroot b^2-4ac/2a

OpenStudy (iwanttogotostanford):

but i don't have a calculator with me currently.

jimthompson5910 (jim_thompson5910):

yes \[\Large x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\] is the quadratic formula use this as a calculator if you don't have one http://web2.0calc.com/

OpenStudy (iwanttogotostanford):

ok thanks ill calculate it real quick

OpenStudy (iwanttogotostanford):

I got 3.8 and -7.8

OpenStudy (iwanttogotostanford):

@jim_thompson5910

OpenStudy (iwanttogotostanford):

or 3 and -5

jimthompson5910 (jim_thompson5910):

you should get two whole numbers

jimthompson5910 (jim_thompson5910):

solving x^2 + 2x - 15 = 0 for x gives x = 3 or x = -5

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!