Solve the equation : `frac{x}{4}-frac{x}{5}=1`

Solve the equation 4[x]=x+{x}

solve the equations: frac{2}{sqrt x} + frac{3}{sqrt y} =2 and frac{4}{sqrt x} - frac{9}{sqrt y} =-1

Solve the equation x^4-5x^2+4=0 .

Solve the equation : tan x tan 4x = 1

(3) Solve the equation : (x)/(4)+2=5

Solve the equations: x^(4)-5x^(2)+6=0 .

If the roots of the equation frac{alpha}{x-alpha}+frac{beta}{x-beta}=1 be equal in magnitude but opposite in sign , then alpha+beta is equal to

Prove that Cos frac{pi}{5} + Cos frac{2pi}{5} + Cos frac{6pi}{5} + Cos frac{7pi}{5} = 0

int frac{dx}{(1-x)sqrtx}

Solve the equation (x-1)^4+(x-5)^4=82.