2x^(2)-5x+8=0

if alpha,beta,gamma are the roots of 2x^(3)-5x^(2)-14x+8=0 then find alpha+beta+gamma

If (2a-5)x^(2)-4x-15=0 and (3a-8)x^(2)-5x-21=0} have equal root then

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

Solve: 5x^(2)-8x=0.

If f(x)=(x)/(2x^(2)+5x+8) for all x>0 what is the greatest value of f(x)?

Solve using formula. 5x^(2)+13x+8=0

Number of integral values of x satisfying the inequality ((e^(x)-pi^(x))log_(2)((x^(2)-5x+6)/(2))(x-8)^(31)(x-5)^(5))/((x+2)^(3)(x^(8)-x^(6)+x^(4)-x^(2)+1))ge0 is/are