" 5."x^(2)+x+1=0

The roots of 5x^(2) - x + 1 = 0 are

If alpha,beta are two roots of equation 5x^(2)-7x+1=0, then (1)/(alpha)+(1)/(beta) is

Solve x ^(5) - 5x ^(4) + 9x ^(3) - 9x ^(2) + 5x -1 =0.

If alpha, beta ,gamma are the roots of 2x^(3) - 5x^(2) + 3x - 1 = 0 then (1)/(alpha beta ) + (1)/(beta gamma) + (1)/(gamma alpha) =

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

If a,b,c are roots of x^(3)-5x^(2)+x+1=0, then system of linear equations ax+y=1,by+z=1,cz+x=1 is

Find the equation whose roots are 2 times the roots of x^(5)+2x^(2)-4x+1=0

Find the values of k for which the given equation has real roots: 5x^2-k x+1=0

If x^(2)-5x+1=0 , then the value of (x^(4) + (1)/(x^(2))) div (x^(2)+1) is