How many roots do the following equations have?

-12x2 - 25x + 5 + x3 = 0

Question

How many roots do the following equations have?

 -12x2 - 25x + 5 + x3 = 0

egbeach · Answer

$$-12x ^{2}-25x+5+x ^{3}$$

egbeach · Answer

thats the equation right?

anonymous · Answer

It has 2 roots, I'm pretty sure

egbeach · Answer

no. you find the number of roots based of the highest exponent. in this equation the highest exponent in 3. thats how many answer or roots you should find.

xapproachesinfinity · Answer

third degree polynomials supposedly have 3 roots (according to FTA)

xapproachesinfinity · Answer

some roots may be complex
or the roots might be all real! we need to check that to see

anonymous · Answer

Sorry, I didn't see the 3 at the end. To find the roots, you can use the quadratic formula

xapproachesinfinity · Answer

hhmm i don't think there a quadratic formula  for a third degree poly
in fact, quad mean (2n degree) so even the term does not fit
but surely there is a formula for a third degree equations but somewhat complex than the usual quadratic formula for parabolas

xapproachesinfinity · Answer

what you can actually do here use the descartes rule of sign to see how many possible roots
or actually go and work out the solutions using rational theorem