2x^(2)-6x+3=0

If one root of the equation 2x^(2)-6x+c=0 is (3+5i)/(2), then the real value of c will be

Find the roots of the following quadratic equations by factorisation : (1) x^(2)-3x-10=0 (2) 2x^(2)+x-6=0 (3) sqrt(2)x^(2)+7x+5sqrt(2)=0 (4) 2X^(2)-X+(1)/(8)=0 (5) 100x^(2)-20x+1=0

Which of the following equations has 2 as a root? (a) x^(2)-4x+5=0 , (b) x^(2)+3x-12=0 (c) 2x^(2)-7x+6=0 , (d) 3x^(2)-6x-2=0

Find the discriminant of each of the following equations: (i) 2x^(2)-7x+6=0" "(ii)" "3x^(2)-2x+8=0 (iii) 2x^(2)-5sqrt(2)x+4=0" "(iv)" "sqrt(3)x^(2)+2sqrt(2)x-2sqrt(3)=0 (v) (x-1)(2x-1)=0" "(vi)" "1-x=2x^(2)

Find the value of x if 2x^(2)+6|x| +3=0

State whether x=(-k)/(2) is root of the quadratic equation 2x^(2)+(k-6)x-3k=0 .

The line x+y=1 meets the lines represented by the equation y^(3)--6xy^(2)+11x^(2)y-6x^(3)=0 at the points,P,Q and R.If O is the origin,then (OP)^(2)+(OQ)^(2)+(OR)^(2) is equal to