(x ^ 2 + MX + n) (x ^ 2-3x + 2) does not contain x ^ 2, X term, find the value of M and n
(x^2+mx+n)(x^2-3x+2)
=x^4-3x^3+2x^2+mx^3-3mx^2+2mx+nx^2-3nx+2n
=x^4+(m-3)x^3+(2-3m+n)x^2+(2m-3n)x+2n
Because there are no x ^ 2 and X items
therefore
2-3m+n=0
2m-3n=0
The solution,
m=6/7,
n=4/7
RELATED INFORMATIONS
- 1. If the expansion of (x + MX + 8) (x-3x + n) does not contain x ^ 3 term and the constant term is 64, find the value of M, n
- 2. If the expansion term of (x + mx-8) (x-3x + n) does not contain X and X terms, we can help to find the value of M and n
- 3. If the equation of x cube M-1 + 7m = 0 is a linear equation of one variable, what is the value of M? What is the solution of the equation
- 4. It is known that the solution of the equation 5x-2m = 3x-6m + 1 about X is x, satisfying - 3 < x ≤ 2, and finding the integer value of M
- 5. It is known that the equation 5x-2m = 3x-6m = 1 for X, and the solution of 1 satisfies - 3 < x ≤ 2
- 6. It is proved that the equation x ^ 3-3x = 1 has at least one real root in (1,2)
- 7. 3. It is proved that the equation x ^ 5-3x = 1 has at least one root between 1 and 2
- 8. If the solution of the first order equation x = kx-4 and the equation x-3 = 3x + 1, k =?
- 9. If a root of the quadratic equation x ^ 2-kx-4 = 2 is 2, then the value of K is?
- 10. It is known that the quadratic equation KX ^ + KX + 1 = 0 with respect to X has two equal real roots, then the value of K is___ It is known that the equation x ^ - 2x + k = 0 about X has no real root, then the value range of K is
- 11. If the expansion of (x 2 + m x + 8) (x 2-3 x + n) does not contain x 3 and x 2 terms, the values of M and N are obtained
- 12. m. N is the coefficient, and the difference between MX + 2xy-x and 3x ^ 2-2nxy + 3Y does not contain quadratic term, so the value of m ^ 2-3n can be obtained
- 13. If the equation 2 (x-3) + AX2 = BX about X is a linear equation of one variable, then a and B satisfy () A. A = 0 and B ≠ 0b. A = - 1 and B ≠ 0C. A = 0 and B ≠ 2D. A = 1 and B ≠ 2
- 14. If ax ^ b-3-5 = 0 is a linear equation of one variable with respect to x, then a is not equal to X___ B is not equal to___ .
- 15. On the case of the solution of the linear equation with one variable of X: it is reduced to the simplest equation AX = B 1, when a is not equal to 0, there is a unique solution x = B / a 2, when a = 0 and B is not equal to 0 When a = 0, B = 0, any number is the solution of the equation If the equation a (2x + b) = 12x + 5 about X has innumerable solutions, then a = () B equals () process
- 16. To solve the linear equation of one variable with respect to X: ax-b = bx-a (a is not equal to b) Urgent help
- 17. It is known that the equation (a2-a) x2 + ax + A2-1 = 0 (1) when a is a value, the equation is a linear equation of one variable; (2) when a is a value, the equation is a quadratic equation of one variable; (3) when the equation has two real roots, one of which is 0, the value of a is obtained
- 18. 7x+3.2=3x+6.4
- 19. -3x+2+7x=?
- 20. 3x + 16 = 7x-40, find X