3x^(2)-5x+3=0

Out of the following equations, find the equation having the sum of its roots -5. A) 3x^(2)-15x+3=0 B) x^(2)-5x+3=0 C) x^(2)+3x-5=0 D) 3x^(2)+15x+3=0

Find the possible number of positive and negative real roots of 2x^4-x^3+4x^2-5x+3=0 .

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

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

If alpha , beta , gamma are the roots of the equation x^3 +4x^2 -5x +3=0 then sum (1)/( alpha^2 beta^2)=

Out of the following equations, find the equation having the sum of its roots as -5. a) 3x^2-15x+3=0 b) x^2-5x+3=0 c) x^2+3x-5=0 d) 3x^2+15x+3=0

If the product of two of the roots of x^(3)-kx^(2)+5x+3=0 is -1 then k is

Determine whether the given values are solutions (i.e., roots) of the equation or nor. 3x^(2)+5x+2=0, x=3, x=-1

Find the nature of the roots of the following quadratic equations. If the real roots exits, find them : (1) 2x^(2)-3x+5=0 (2) 3x^(2)-4sqrt(3)x+4=0 (3) 2x^(2)-6x+3=0

Find the nature of roots of the following quadratic equations. If the real roots exist, (i) 2x^(2)-3x+5=0 (ii) 3x^(2)-4sqrt3x+4=0 (iii) 2x^(2)-6x+3=0