If the sum of two roots of x:4+2x:3−8x:2−18x−9=0 is 0, find the roots of the equation

iroroPagbublh 2022-08-13 Answered
If the sum of two roots of
x 4 + 2 x 3 8 x 2 18 x 9 = 0
is 0, find the roots of the equation
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Payton Mcbride
Answered 2022-08-14 Author has 18 answers
Generally, if there's two roots whose sum is zero, then it means that two factors are x−a and x+a, which means that x 2 a 2 must be a factor. So clearly
( x 2 a 2 ) ( x 2 + b x + c ) = x 4 + 2 x 3 8 x 2 18 x 9 = 0
Find the values of a 2 , b, and c that satisfy the left equality, and you'll have found factors that you can then solve for all roots. (This works even if there's no rational root)
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions