Substituting p=x^2 for Solving Polynomial Equation by Hand

  • Thread starter Thread starter nameVoid
  • Start date Start date
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
3 replies · 2K views
nameVoid
Messages
238
Reaction score
0
is there a way to solve this by hand
(1/2)x^4-x^2-1=0
 

Discussion

Physics news on Phys.org


(1/2)x^4-x^2-1=(1/2)p^2-p-1=0

quadratic in p

[1+||- (1+2)^(1/2) ] = 1+||-3^(1/2) = p = x^2

x=+||-[1+||-3^(1/2) ]^(1/2) =+||-[1+3^(1/2) ]^(1/2)
 

Similar threads

What is the algebraic function for solving polynomial equations?

  • Karol
  • · Replies 9 ·
  • Calculus and Beyond Homework Help
Replies
9

Strategies for Solving Polynomial Equations: An Engineer's Approach

  • yungman
  • · Replies 23 ·
  • Precalculus Mathematics Homework Help
Replies
23

Solving polynomial using matrix methods

  • unscientific
  • · Replies 13 ·
  • Calculus and Beyond Homework Help
Replies
13

Solving Polynomial Functions: Find x in 0<|x|≤1/2

  • mtayab1994
  • · Replies 1 ·
  • Calculus and Beyond Homework Help
Replies
1

Solving Polynomial Question with Gauss Method

  • iPanos
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2

How to Factorize x^2-y^2-x+y for Solving Polynomial Equations

  • mathlearn
  • · Replies 11 ·
  • General Math
Replies
11

Solving Polynomial Inequalities

  • Veronica_Oles
  • · Replies 3 ·
  • Precalculus Mathematics Homework Help
Replies
3

Solving polynomial equation using induction

  • thereddevils
  • · Replies 2 ·
  • Precalculus Mathematics Homework Help
Replies
2

Is Sin(x^2) a Solution to the Differential Equation y'' + p(x)y' + q(x)y = 0?

  • th3chemist
  • · Replies 19 ·
  • Calculus and Beyond Homework Help
Replies
19

Solving Polynomial Equations with Exponents of 40

  • heartyface
  • · Replies 5 ·
  • Precalculus Mathematics Homework Help
Replies
5