If `(x+1)^((log)_(10)(x+1))=100(x+1),` then all the roots are positive real numbers all the roots lie in the interval (0,100) all the roots lie in the interval [-1,99]

Let x^2-(m-3)x+m=0 (m epsilon R) be a quadratic equation . Find the values of m for which the roots are (ix)one root is smaller than 2 & other root is greater than 2 (x) both the roots are greater than 2 (xi) both the roots are smaller than 2 (xii)exactly one root lies in the interval (1;2) (xiii) both the roots lies in the interval (1;2) (xiv) atleast one root lies in the interval (1;2) (xv) one root is greater than 2 and the other root is smaller than 1

Find the real roots of the equation cos^4x + sin^7x = 1 in the interval [-pi,pi]

If both the roots of the equation 4x^(2)-2x+m=0 lie in the interval (-1, 1) , then

If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval

If 3x^(2)+4kx+1 gt 0 for all real values of x, then k lies in the interval

If both roots of the equation x^2-2ax + a^2-1=0 lie between (-2,2) then a lies in the interval

Find all the values of 'a' for which both the roots of the equation (a - 2)x^2 - 2ax + a = 0 lies in the interval (-2,1) .

The values of x satisfying x^("log"_(5)) gt5 lie in the interval

Find the number of positive real roots of x^4-4x-1=0

Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which lie in the interval [0. 314) is