The real solution of `[x] + 5x +[10x]+[20x] = 36k + 35`,`k in I`, if the fractional part of x lies in `[1/10,1/5)`

The no. of integral solutions of x_1+x_2+x_3=0 with x_k, >=-5 is

6/ The real solutions of the equation 2^(x+2).5^(6-x)=10^(x^2) is

The number of real solution of the equation x^(2)=1-|x-5| is:

Factorise : (i) 5x^2 - 10x

The least integral value of 'k' If (k-1) x ^(2) -(k+1) x+ (k+1) is positive for all real value of x is:

The absolute valued function f is defined as f(x) = {{:(x,, x ge 0),(-x ,, x lt 0):}} and fractional part function g(x) as g(x) = x-[x], graphically the number of real solution(s) of the equation f(x) = g(x) is obtained by finding the point(s) of interaction of the graph of y = f(x) and y = g(x). The number of solution (s) |x-1| - |x+2| = k , when -3 lt k lt 3

x ^ 3 - 5x ^ 2 + 2x - 10 = 0 For what real value of x is the equation above true ?

The number of integral solution of the equation (sgn((x-1)(x-5)))^(x)=1 lying in the interval [-10, 10] is not equal to :

Let n_(k) be the number of real solution of the equation |x+1| + |x-3| = K , then

Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :