5x^(2)-4x+2+k(4x^(2)-2x-1)=0

Find the values of k for which roots of the following equations are real and equal: (i) 12x^(2)+4kx+3=0 (ii) kx^(2)-5x+k=0 (iii) x^(2)+k(4x+k-1)+2=0 (iv) x^(2)-2(5+2k)x+3(7+10k)=0 (v) 5x^(2)-4x+2+k(4x^(2)-2x-1)=0 (vi) (k+1)x^(2)-2(k-1)x+1=0 (vii) x^(2)-(3k-1)x+2k^(2)+2k-11=0 (viii) 2(k-12)x^(2)+2(k-12)x+2=0

If the product of the roots of 5x^(2)-4x+2+m(4x^(2)-2x-1)=0 is 3, then m=

If the products of the roots of 5x^(2)-4x+38+k(-4x^(2)-2x-1)=0 is -5 then the value of k is

IF the product of the roots of 5x^2-4x+2+m(4x^2-2x-1) =0 is 3, then m=

(5x^(2)-2)/(4x^(2)-x+3)<1

Solve : |(x^(2)-1,x^(2)+2x+1,2x^(2)+3x+1),(2x^(2)+x-1,2x^(2)+5x-3,4x^(2)+4x-3),(6x^(2)-x-2,6x^(2)-7x+2,12x^(2)-5x-2)| =0

Determine the nature of the roots of the following quadratic equations: 2x^(2)+x-1=0x^(2)-4x+4=0x^(2)+x+1=04x^(2)-4x+1=02x^(2)+5x+5=0

Solve the following equations where x in R a) (x-1)|x^(2)-4x+3|+2x^(2)+3x-5=0 b) |x^(2)+4x+3|+2x+=0 c) |x+3|(x+1)+|2x+5|=0

Solve the following equations where x in R a) (x-1)|x^(2)-4x+3|+2x^(2)+3x-5=0 b) |x^(2)+4x+3|+2x+=0 c) |x+3|(x+1)+|2x+5|=0

Simplify: (x^(2)-3x+2)(5x-2)-(3x^(2)+4x-5)(2x-1)