To prove that the equation x + 2K + 1 x + k-1 = 0 has two unequal real roots Please write down the specific problem-solving process, if you have the ability, please indicate the solution idea!

There are two unequal real roots, that is, the discriminant B & sup2; - 4ac is greater than 0
Discriminant = (2k + 1) & sup2; - 4 (k-1)
=4k²+4k+1-4k+4
=4k²+5
This formula must be greater than zero
So the equation has two unequal real roots

RELATED INFORMATIONS

1. When k is a real number, the equation x ^ 2 + (2k + 3) x + (k-1) ^ 2 = 0 about X has two unequal roots of real numbers
2. We know that the two roots of the equation x ^ 2-px + 1 = 0 (P belongs to R) are X1 and X2, and | x1 | + | x2 | = 3
3. It is known that angle a is an internal angle of triangle ABC, and sinA.cosA Is the two roots of the equation 2x-2x + P = 0, try to determine the shape of the triangle
4. If the quadratic equation of one variable x + PX + q = 0 is negative, then () A.P > 0 and Q > 0 B.P > 0 and c.0 and Q > 0 D.P
5. What is the relationship between the two equations (the square of x) + PX + q = 0, Q * (the square of x) + p * x + 1 = 0
6. There are several ways to divide a parallelogram into three parts
7. There are several ways to cut a parallelogram into a rectangle
8. How to prove parallelogram
9. The method of proving parallelogram
10. Several drawing methods of parallelogram
11. What are the wavelengths of alpha, beta and gamma rays?
12. If the line AB is a non planar line, a [alpha, B [beta], and the plane alpha intersection beta equals C, then
13. If the plane alpha is perpendicular to the plane beta, then all lines in the plane alpha are perpendicular to the plane beta?
14. Let alpha and beta be the two real roots of the equation x2-ax + B = 0. Let a > 2 and b > 1 be two What is the condition that "alpha, beta" are greater than 1? How can we find the range of B if we add the condition that a2-4b > 0 and a is greater than 2?
15. If the complement angle of alpha is 125 degrees and the remainder angle of beta is 37 degrees, the relationship between alpha and beta is ()
16. If the remainder of angle 1 is alpha, the complement of angle 1 is beta, and the sum of alpha and beta is 170 degrees, the degree of angle 1 is obtained
17. Given that the sum of squares of the two real roots of the equation x2 + (2k + 1) x + k2-2 = 0 is equal to 11, that is, X12 + X22 = 11, then the value of K is () A. - 3 or 1b. - 3C. 1D. 3
18. What is the domain of negative cosx under y = root?
19. Y = the domain of cosx-1 / 2?
20. Let set a = {- 1,1} set B = {x ^ 2-2ax + B = 0} if B ≠ empty set B is contained in a, find the value of a and B