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

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- anonymous

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

- katieb

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- egbeach

\[-12x ^{2}-25x+5+x ^{3}\]

- egbeach

thats the equation right?

- anonymous

It has 2 roots, I'm pretty sure

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## More answers

- egbeach

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

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

- xapproachesinfinity

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

- anonymous

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

- xapproachesinfinity

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

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

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