Solve the equation equation `root(3)((2x-1))+root(3)((x-1))=1`

Solve the equation root(3)((2x-1))+root(3)((x-1))=1

Solve the equation 5^(x)root(x)(8^(x-1))=500

Solve the equation 5^(x)root(x)(8^(x-1))=500

Solve the equation : root(5)([3/(x+1)+7/(x+2)])lt root(5)(6/(x-1))

Solve the equation for x:log4+(1+(1)/(2x))log3=log(root(z)(3)+27)

If a,B and y are the roots of x^(3)+2x+1=0 then roots of equation (x+1)^(3)+2(x^(2)-1)(x-1)-(x-1)^(3)=0 are

Roots of the equation x^(3)-1=0 are

the roots of the equation sqrt(3x+1)+1=sqrt(x) are

Without solving the quadratic equation find if x=1 is a root of 3x^2-2x-1=0