Find the value of 'm', if following equation has equal roots :
`(m-2)x^(2)-(5+m)x+16=0`

Find the values of k for which the following equation has equal roots: (k-12)x^2+2(k-12)x+2=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 which the given equation has real roots: 5x^2-k x+1=0

Without solving the following quadratic equation, find the value of 'm' for which the given equation has real and equal roots. x^(2)+2 (m-1)x+(m+5)=0

Find the values of 'm', if the roots of the following quadratic equation are equal, (4+m)x^(2)+(m+1)x+1=0 .

Find the value of k for which equation 4x^(2)+8x-k=0 has real and equal roots.

Find the values of k for which the equation x^2+5k x+16=0 has no real roots.

Find the value of k so that the equation 2x^(2)-5x+k=0 has two equal roots.

Find the values of m for which the equation 3x^(2)+mx+2=0 has equal roots. Also, find the roots of the given equation.

For each equation, given below, find the value of 'm' so that the equation has equal roots. Also, find the solution of each equation : (i) (m-3)x^(2)-4x+1=0 (ii) 3x^(2)+12x+(m+7)=0 (iii) x^(2)-(m+2)x+(m+5)=0