Problem 1 :
Find a polynomial equation of minimum degree with rational coefficients having 2+√3i as a root.
Problem 2 :
Find a polynomial equation of minimum degree with rational coefficients having 2i+3 as a root.
Problem 3 :
Find a polynomial equation of minimum degree with rational coefficients having √5 - √3 as a root.
Problem 4 :
If k is real, discuss the nature of the roots of the polynomial equation 2x^{2} + kx + k = 0 in terms of k.
Problem 5 :
Prove that a straight line and parabola cannot intersect at more than two points.
1) x^{2} - 4x + 7 = 0
2) x^{2} - 6x + 13 = 0
3) x^{4} - 16x^{2} + 4 = 0
4)
5)
m^{2}x^{2} + 2x(mb - 2a) + b^{2} = 0
While solving any quadratic equation, we will get two solutions.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM