Practice questions
88551 published questions with worked solutions.
- The number of irrational solutions of the equation x^2 + x^2 + 11 + x^2 - x^2 + 11 = 4, is
- The number of real solutions of 1 + |e^x - 1| = e^x(e^x - 2), is
- The number of solutions of 3^ |x| = |2 - |x|| is
- The number of real solutions of the equation 3^ -|x| - 2^ |x| = 0, is
- The number of negative real roots of x^4 - 4x - 1 = 0, is
- The equation 4x + 9 - 11x + 1 = 7x + 4 has
- The number of solutions of 3x^2 + 6x + 7 + 5x^2 + 10x + 14 = 4 - 2x - x^2, is
- The number of real solutions of the equation e^ -x = x, is
- The number of solution(s) of the inequation 3x^2 + 6x + 7 + 5x^2 + 10x + 14 4 - 2x - x^2, is
- The number of real solutions of the equation e^ |x| - |x| = 0, is
- The total number of roots of the equation |x - x^2 - 1| = |2x - 3 - x^2| is
- If x, y, z are three real numbers such that x + y + z = 4 and x^2 + y^2 + z^2 = 6, then the exhaustive set of values of x, is
- The number of negative integral solutions of x^2 2^ x+1 + 2^ |x-3|+2 = x^2 2^ |x-3|+4 + 2^ x-1 , is
- The number of solutions of the equation _ x-3 (x^3 - 3x^2 - 4x + 8) = 3, is
- The number of roots of the equation x = | |x||, is
- The number of positive real roots of x^4 - 4x - 1 = 0, is
- The solution set of inequation _ 1/3 (2^ x+2 - 4^x) -2, is
- Let n be an odd positive integer. Then, the number of real roots of the polynomial P_n(x) = 1 + 2x + 3x^2 + + (n+1)x^n, is
- Let n be an odd integer such that the polynomial P_n(x) = 1 + 2x + 3x^2 + + (n+1)x^n has exactly one real root. This real root...
- Let P_n(x) = 1 + 2x + 3x^2 + + (n+1)x^n be a polynomial such that n is even. Then, the number of real roots of P_n(x), is