keshav

if alpha and bita are the zeroes of ax^2+bx+c then evaluate alpha^4+bita^4

Find the largest positive integer x such that √(3620+322x−4x2) is a real number.

For positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p2)?

Find the last three digits of the sum of all positive integers n<1000, such that the polynomial fn(x)=x4+n is a product of two non-constant polynomials with integer coefficients.

Workers who wash windows or paint the outside of buildings use an interesting contraption known as a painter's lift. This consists of a harness that the worker wears suspended by a rope. The rope runs through a pulley mounted on the roof of the building a...

The dipole moment for a system of charges is defined as d⃗ =∑kqkr⃗ k. (see here for a more in depth discussion of the dipole moment). Determine the magnitude of the dipole moment in m⋅C for a system of three charges (Q=1 μC, Q=1 μC, and −2Q=−2 μC) located...

Chef Fabio went to the store and bought 2 cans of beans, 2 cans of tomatoes, and 2 cans of tuna, all of which were the same shape and size. On his way home, it rained hard and the labels became soaked and fell off the cans. He wants to make a dish using o...

For how many ordered pairs of positive integers n and k with n and k less than or equal to 20, is the number ((2n)!(2k)!) / (n!k!(n+k)!) an integer?

no its not given that it is greater than 5 but it must be an prime number

whats that checking for answer again nd again nd no one has yet replied

thanks subharthi

yr pls someone solve it.....

so whats ur problem i mean usmey aapko problem kya hai..?