Posted by Laila on Tuesday, October 8, 2013 at 1:29pm.
the solution set for the following
1.X3+x26x10=0
2.2x24x4=0
3.x4x34x2+x+1=0

maths  Reiny, Tuesday, October 8, 2013 at 2:51pm
1. x^3 + x^2  6x  10 = 0
let f(x) = x^3 + x^2  6x  10
f(1) = ... ≠ 0
f(1) = ... ≠ 0
f(2) = 8 + 4  12  10 ≠ 0
f(2) = 8 + 4 + 12  10 ≠ 0
f(5) ≠0, f(5) ≠ 0
all rational possiblilities have been exhausted, tough from here on in.
Wolfram gave me this ....
http://www.wolframalpha.com/input/?i=x%5E3+%2B+x%5E2++6x++10+%3D+0
x = appr 2.6631, and 2 complex roots
2. I will use completing the square ...
could use the formula, but that would be harder.
first divide by 2
> x^2  2x = 2
x^2  2x + 1 = 2+1
(x1)^2 = 3
x1 = ± √3
x = 1 ± √3
3. let f(x) = x^4  x^3  4x^2 + x + 1 = 0
WOW, even nastier than the first one
Wolfram says this
http://www.wolframalpha.com/input/?i=x%5E4++x%5E3++4x%5E2+%2B+x+%2B+1+%3D+0
What method was suggested to you to solve these?
Have you learned Newton's Method ?
Answer This Question
Related Questions
 Calculus  Which of the following is the general solution of the differential ...
 Calc  The slope of a curve at each point (x,y) is given by 4x  1. Which of the...
 Math: Please check my answers  1. What is the degree of the monomial 3x2y3? 2 3...
 Algebra  1. What polynomial has a graph that passes through the given points...
 Algebra  Directions: Find the prime factors of the polynomials 1. a. 2a2  2b2 ...
 maths  Write the system as a matrix equation and solve using inverses. x1 + 2x2...
 maths  Using the digits 1, 2, 3 & 4 each once only, and as many +, , x, / and ...
 Maths  f:x > (4x²8x21)/(x²1) (a) Analyse (b) Sketch I'm struggling on (a...
 math  Factor the following. You will earn 5 points for each polynomial that is ...
 algebra  what is the solution set of 4x2=5x+9? p.s. its suppose to be ...
More Related Questions