Find the value of 'p'. If the following quadratic equations have equal roots :
(i) `4x^(2)-(p-2)x+1=0`
(ii) `x^(2)+(p-3)x+p=0`

Find the value of P for which the following equation has equal roots px ^2−8x+2p=0

Find the values of k for each of the following quadratic equations, so that they have two equal roots.(i) 2x^2+k x+3=0 (ii) k x(x-2)+6=0

Find, using the quadratic formula, the roots of the following quadratic equations, if they exist (i) 3x^(2)-5x+2=0 (ii) x^(2)+4x+5=0

Find the values of p for whch the equadratic equation (2p+1)x^2-(7p+2)x+(7p-3)=0 has equal roots

Find the value of p for which the roots of the equation p x(x-2)+6=0, are equal.

Without solving the following quadratic equation, find the value of 'p' for which the roots are equal. px^(2)-4x+3=0

If p(x)=4x^(2)-3x+6 find : (i) p(4) (ii) p(-5)

Find the vaues of p if the equations 3x^2-2x+p=0 and 6x^2-17x+12=0 have a common root.

If p(x)=x^(3)+2x^(2)+x find : (i) p(0) (ii)p(2)

Find the value of p for which the quadratic equation (p+1)x^2+ -6(p+1)x+3 (p +9)=0, p != -1 has equal roots. Hence, find the roots of the equation.