Reduce equaction to quadratic using substitution, Algebra

Solve 2 x10 - x5 - 4 = 0 .

Solution

We can reduce this to quadratic in form using the substitution,

u = x5

u 2  = x10

By using this substitution the equation becomes,

2u 2 - u - 4 = 0

It doesn't factor and thus we'll have to use the quadratic formula on it.  From the quadratic formula the solutions are,

U= (1 ±   √33 )/4

Now, to get back to x's we are going to require decimals values for these so,

u = (1 + √33 )/4 = 1.68614                       u = (1 -√33 )/4= -1.18614

Now, using the substitution to get back to x's gives the following,

u= 1.68614          x5  = 1.68614       x = (1.68614)(1/5)   = 1.11014

u =-1.18614       x5  = -1.18614        x =( -1.18614)(1/5)   = -1.03473

Certainly we had to employ a calculator to get the last answer for these. It is one of the cause that you don't tend to see too several of these done in Algebra class. The work and/or answers tend to be a little messy.

Posted Date: 4/6/2013 5:15:54 AM | Location : United States







Related Discussions:- Reduce equaction to quadratic using substitution, Assignment Help, Ask Question on Reduce equaction to quadratic using substitution, Get Answer, Expert's Help, Reduce equaction to quadratic using substitution Discussions

Write discussion on Reduce equaction to quadratic using substitution
Your posts are moderated
Related Questions
Let's go through first form of the parabola.                     f ( x ) = a ( x - h ) 2  + k There are two pieces of information regarding the parabola which we can instant

How to find the term in algebraic equation like 9x=18 only harder


using T for term- p T-1,2,3,4,5,6 = 8,16,24,32,40. Formula is T x _ +_=8, T x_+_=16 etc same 2 numbers must be used. how do i figure this out? an brackets be used or minus?


how to solve calculus?


There is interesting relationship among the graph of function and its inverse. Here is the graph of the function & inverse from the first examples. We'll not deal along with the

Ask question #Minimum 100evaluate the expression log4 (x - 7) =3 words accepted#