" (iii) "4x^(2)+3x+5=0

Solve the follwing inequations by algebric and graphical methods. i) x^(2) – 8x + 15 gt 0 ii) 2x^(2) + 3x – 2 lt 0 iii) x^(2) - 4x + 5 gt 0 iv) 15x^(2) + 4x – 5 le 0

Without solving, find the nature of the roots of the following equations: (i) 3x^(2)-7x+5=0 . (ii) 4x^(2)+4x+1=0 . (iii) 3x^(2)+7x+2=0 . (iv) x^(2)+px-q^(2)=0 .

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

Find the roots of 4x^(2) + 3x + 5 = 0 by the method of completing the square.

If (i)|(3x+2)/(x-1)|<=2 and (ii)x^(2)+4x-5<=0, then

Find the roots of the following quadratic equations i) 6sqrt5 x^(2) – 9x -3sqrt5 = 0 ii) x^(2) - x - 12 = 0 iii) 2x^(2) - 6x + 7 = 0 iv) 4x^(2) - 4x+17 = 3x^(2) -10x-17 v) x^(2) + 6x + 34 = 0 vi) 3x^(2) + 2x - 5 = 0

The polynomial equation of degree 5 whose roots are the translates of the roots of x ^(5) - 2x ^(4) + 3x ^(3) -4x ^(2) + 5x -6=0 by -2 is

By using the method of completing the square, show that the equation 4x^(2)+3x+5=0 has no real roots.