MHB Is It Possible to Solve This Corrected Quartic Polynomial Equation?

  • Thread starter Thread starter DrLiangMath
  • Start date Start date
  • Tags Tags
    Polynomial
DrLiangMath
Messages
21
Reaction score
0
empty.png
 
Mathematics news on Phys.org
\[x^4+16x-12=0\]

\[x^{4}-12+16+16x-16=0\]

\[x^{4}+4x^{2}+4-4x^{2}+16x-16=0\]

\[(x^{2}+2)^{2}-(2x-4)^{2}=0\]

\[(x^{2}-2x+10)(x^{2}+2x-2)=0\]
 
Nice solution! There is a typo for the first factor: it should be $x^2-2x+6$
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

Undergrad Factoring a quartic polynomial over the reals
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Quadratic, cubic, quartic, quintic equations
  • · Replies 16 ·
Replies
16
Views
5K
Undergrad A doubt about the multiplicity of polynomials in two variables
  • · Replies 8 ·
Replies
8
Views
3K
MHB Polynomial with integer coefficients
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What type is a polynomial function?
  • · Replies 7 ·
Replies
7
Views
2K
MHB Can you factor the following two polynomials?
  • · Replies 5 ·
Replies
5
Views
1K
MHB Find Cubic Function & Polynomial of Degree 3
  • · Replies 5 ·
Replies
5
Views
1K
MHB Area of the bounded regions between a straight line and a polynomial
  • · Replies 1 ·
Replies
1
Views
1K
MHB Find Polynomials Fulfilling Real Coefficient Equation
  • · Replies 1 ·
Replies
1
Views
1K
MHB Solving a Third-Degree Polynomial with Real Coefficients
  • · Replies 1 ·
Replies
1
Views
1K