Quadratic Equations in Complex Numbers: JEE Questions & Solutions

The sum of all the roots of the equation (x-1)^2 - 5|x-1| + 6 = 0, is:

The number of distinct real solutions of the equation x|x + 4| + 3|x + 2| + 10 = 0 is

Let, be the roots of the quadratic equation 12x^2 - 20x + 3 = 0, Z. If 12 | - | 32, then the sum of all possible values of is

If and ( <) are the roots of the equation (-2 + 3)( x - 3) + (x - 6 x) + (9 - 2 3) = 0, x 0, then + is equal to:

A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work…

The number of real solutions of the equation: x|x+3| + |x-1| - 2 = 0 is

Let S = x^3 + ax^2 + bx + c: a, b, c N and a, b, c 20 be a set of polynomials. Then the number of polynomials in S, which are divisible by…

The product of all solutions of the equation e^5( e x)^2 + 3 = x^8, x 0, is:

The sum of the squares of all the roots of the equation x^2 + |2x - 3| - 4 = 0 is:

If + i and + i are the roots of the equation x^2 - (3-2i)x - (2i-2) = 0, i = -1, then + is equal to:

The number of solutions of the equation ( 9x - 9 x + 2) ( 2x - 7 x + 3) = 0 is:

Let S = x R: ( 3 + 2)^x + ( 3 - 2)^x = 10. Then the number of elements in S is:

The sum of all solutions of the equation 8^2x - 16 8^x + 48 = 0 is:

Let,;, be the roots of the equation x^2 - 2x - 3 = 0. Let Pn = ^n - ^n, n N. Then (11 3 - 10 2)P10 + (11 2 + 10)P11 - 11P12 is equal to:

If the value of real number a 0 for which x^2 - 5ax + 1 = 0 and x^2 - ax - 5 = 0 have a common real root is 3 2, then is equal to.....

Let, be the roots of the quadratic equation x^2 + 6x + 3 = 0. Then, ^23 + ^23 + ^14 + ^14 ^15 + ^15 + ^10 + ^10 is equal to: