Suppose is a positive real number such that `a^(5)-a^(3)+a=2`. Then

Suppose x is a positive real number such that {x}, [x] and x are in the geometric progression. Find the least positive integer n such that x ^(n) gt 100. (Here [x] denotes the integer part of x and {x} = x- [x])

Suppose a, b are positive real numbers such that asqrt(a) + b sqrt(b) = 183, asqrt(b) + bsqrt(a) = 182 . Find 9/5(a-b) .

Statement-1: If a, b are positive real numbers such that a^(3)+b^(3)=16 , then a+ble4. Statement-2: If a, b are positive real numbers and ngt1 , then (a^(n)+b^(n))/(2)ge((a+b)/(2))^(n)

Statement-1: If a, b are positive real numbers such that a^(3)+b^(3)=16 , then a+ble4. Statement-2: If a, b are positive real numbers and ngt1 , then (a^(n)+b^(n))/(2)ge((a+b)/(2))^(n)

If x and y are positive real numbers such that x^(2)y^(3)=32 then the least value of 2x+3y is

If x and y are positive real numbers such that x^(2)y^(3)=32 then the least value of 2x+3y is

Suppose a,b are positive real numbers such that a sqrt(a)+b sqrt(b)=183 and a sqrt(b)+b sqrt(a)=182 then find ((9)/(5))(a+b)

Suppose that a and b are positive real numbers such that log_(27) a + log_(9) b = 7/2 " and " log_(27) b + log_(9) a = 2/3 . Find the value of the ab.