MEDIUM
10th CBSE
IMPORTANT
Earn 100

Find the values of p for which the quadratic equation (p+1)x2-6(p+1)x+3(p+9)=0, p-1 has equal roots. Hence find the roots of the equation.

Important Questions on Quadratic Equations

EASY
10th CBSE
IMPORTANT
For what values of p are the roots of the equation 4x2+px+3=0 real and equal?
EASY
10th CBSE
IMPORTANT
Find the nonzero value of k for which the roots of the quadratic equation 9x2-3kx+k=0 are real and equal.
EASY
10th CBSE
IMPORTANT
Find the values of k for which the quadratic equation (3k+1)x2+2(k+1)x+1=0 has real  and equal roots.
EASY
10th CBSE
IMPORTANT
Find the value of k for which the equation x2+k(2x+k-1)+2=0 has real and equal roots.
MEDIUM
10th CBSE
IMPORTANT
Find the value of p for which the quadratic equation (2p+1)x2-(7p+2)x+(7p-3)=0 has real and equal roots.
HARD
10th CBSE
IMPORTANT
Find the values of p for which the quadratic equation (p+1)x2-6(p+1)x+3(p+9)=0, p-1  has equal roots. Hence, find the roots of the equation. 
MEDIUM
10th CBSE
IMPORTANT
If -5 is a root of the quadratic equation 2x2+px-15=0 and the quadratic equation px2+x+k=0 has equal roots, find the value of k.
MEDIUM
10th CBSE
IMPORTANT
If 3 is a root of the quadratic equation x2-x+k=0 find the value of p so that the roots of the equation x2+k(2x+k+2)+p=0 are equal.