Test my Merit My Results Create Exam

Higher Study | Mathematics | Quadratic Equations

The sum of a fraction and 3 times its reciprocal is 37/10. What is the fraction?
One root of the equation tan x = x is
An odd degree polynomial equation has:
Let α and β be the roots of the equation x2 - ax - bx + ab - c = 0. What is the quadratic equation whose roots are a and b?
Two consecutive positive integers, the sum of whose square is 365, are:
Let P(x) be a quadratic polynomial such that p(0) = 1. If p(x) leaves remainder 4 when divided by x - 1 and it leaves remainder 6 when divided by x + 1, then
The roots of the equation 2a2x2 – 2abx + b2 = 0 When a < 0 and b > 0 are:
Which one of the following is the second degree polynomial function f(x) where f(0) = 5, f(-1) = 10 and f(1) = 6?
If (x - 1)2 + (y - 2)2 = (x – 1) (y - 2), where x and y are integers, then value of 2x + 3y is:
The equation px2 + qx + r = 0 (where p, q, r all are positive) has distinct real roots a and b. Which one of the following is correct?
If one root of the equation ax2 + bx + c = 0 where a, b, c are integers is (√5 + 3), then the other root is
Let p and q be non-zero integers. Consider the polynomial A(x) = x2 + px + q. It is given that (x - m) and (x - km) are simple factors of A(x), where m is a non-zero integer and k is positive integer, k ≥ 2. Which one of the following is correct?
If both p and q belong to the set {1, 2, 3, 4}, then how many equations of the form px2 + qx + 1 = 0 will have real roots?
Consider the following equation in x and y: (x – 2y – 1)2 + (4x + 3y – 4)2 + (x – 2y – 1) (4x + 3y – 4) = 0. How many solutions to (x, y) with x, y real, does the equation have 
Let α and β (α > β) be the roots of the equation x2 - 8x + q = 0. If α2 - β2 = 16, then what is the value of q?
Ads