A higher order equation of grade two X quartic power - 2008x power + 2009x-2008 = 0 The answer is x = (- 1 plus minus root 8033) / 2
x^4-2008x^2+2009x-2008
=(x^4+x)-2008x^2+2008x-2008
=x(x+1)(x^2-x+1)-2008(x^2-x+1)
=(x^2-x+1)(x^2+x-2008)=0
X ^ 2-x + 1 has no solution,
x^2+x-2008=0
x=(-1±√8033)/2
RELATED INFORMATIONS
- 1. Mathematics -- solving higher order equation of one variable The third power of X - the square of 3x + X + 2 = 0 Let f = (x) = the third power of X - the square of 3x + X + 2 ∵f(2)=8-3*4+2+2=0 X-2 is a factor of the square + X + 2 of the cubic power - 3x of polynomial X (I understand here) The original equation can be solved as: (X-2) (the square of x-x-1) = 0 (I want to know how to push this step out and how to get the result at once. I hope you can give me a detailed and understandable answer.)
- 2. On the equation of X (M2 - 4) x & # 178; + (M + 2) x + (M + 1) y = m + 5, when m = is a one variable linear equation, when m = is a two variable linear equation
- 3. When m is a value, the equation (M & # 178; - 1) y & # 178; + (M + 1) y + (M + 4) x = m + 3 is a univariate linear equation. When m is a value, the original equation is a bivariate linear equation
- 4. The equation (M & # 178; - 4) x & # 178; + (M + 2) x + (M + 1) y = m + 5 about X is known? (2) What is the value of M?
- 5. If the equation (m ^ 2-1) x ^ 2 - (m-1) x + (2m + 1) Y-3 = 0 is a bivariate linear equation, then the value of M is (if the equation is a univariate linear equation, then the value of M is?
- 6. The equation (m-1) x + (m-1) y = 0 is a bivariate linear equation when m =? And a univariate linear equation when m =
- 7. It is known that (M2-1) X2 - (m-1) x + 8 = 0 is a linear equation of one variable with respect to x, and its solution is n (1) Find the value of the algebraic formula 200 (M + n) (n-2m) - 3M + 5 (2) Finding the solution of the equation m y = n about y
- 8. If the equation 6x + 5y-2-3rx-2ry + 4R = 0 about X and Y does not contain y term after merging the similar term, the value of R is obtained
- 9. If the equation 6x + 5y-2 on X Y is the same as 3rx-2ry + 4R = 0, and there is no y term after merging the class term, the value of R can be obtained
- 10. Given that the lengths of two sides of a right triangle are two of the equations x2-7x + 12 = 0, then the length of the third side is______ .
- 11. Solution of higher order equation The higher order equation x ^ 4 + 24x ^ 3 + 70X ^ 2-1176x-7056 = 0 is solved
- 12. Higher order equation x³﹢6x²﹢3x-10=0
- 13. If x + y + xy = 8y + Z + YZ = 15z + X + ZX = 35, then x + y + Z + XYZ=______ .
- 14. Solving special higher order equations X^3-3x^2+x+2=0 If the equation x ^ 3-4x ^ 2 + AX = 0 has and only has one real root, what is the value range of a That's the problem
- 15. Given a = x3-5x2, B = x2-11x + 6, find the value of a-2b
- 16. If the equation SiNx cosx = m about X has no real number solution, then the value range of real number m is
- 17. The square root of 1.96 is? Because the square of? Is equal to 1.96, and?
- 18. There are six cards with the number 123456. If you add a negative sign in front of the number of some cards and make the sum of the six cards equal to 1, the formula will be given
- 19. Solution equation: 3x-11 / 16 = 5 / 16 Come on
- 20. No matter what the value of P is, does the equation (x-20) (X-30) - P square = 0 always have two different real roots