If -5 is a root of the quadratic equatio...

If `-5` is a root of the quadratic equation `2x^2+p x-15=0` and the quadratic equation `p(x^2+x)+k=0` has equal roots, find the value of `kdot`

A

k = 1, p = 4

B

k = 2, p = 8

C

k = 4, p = 8

D

k = 2, p = 4

Verified by Experts

QUADRATIC EQUATIONS
MTG IIT JEE FOUNDATION|Exercise EXERCISE (INTEGER /NUMERICAL VALUE TYPE )|9 Videos
PROBABILITY
MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|26 Videos
REAL NUMBERS
MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|15 Videos

Similar Questions

Explore conceptually related problems

If -5 is a root of the quadratic equation 2x^(2)+px-15=0 and the quadratic equation p(x^(2)+x)+k=0 has equal roots, find the value of k.

If -5 is a root of the quadratic equation 2x^(2)+px-5=0 and the quadratic equation p(x^(2)+x)+k=0 has equal roots, find the value of k.

If 1 is a root of the quadratic equation x^(2)+px-2=0 and the quadratic equation 2x^(2)-4px+k=0 has equal roots, find the value of k.

If -4 is a root of the quadratic equation x^(2)-px-4=0 and the quadratic equation x^(2)-px+k=0 has equal roots, find the value of k:

If -4 is a root of the quadratic equation x^(2)+px-4=0 and the quadratic equation x^(2)+px+k=0 has equal roots,find the value of k.

If 2 is a root of the quadratic equation 3x^(2)+px-8=0 and the quadratic equation 4x^(2)-2px+k=0 has equal roots,find the value of k.

If 1 is a root of the quadratic equation 3x^(2)+ax-2=0 and the quadratic equation a(x^(2)+6x)-b=0 has equal roots,find the value of b.

The quadratic equation 2x^2 + px + 3 = 0 has two equal roots. Find the value of p.

Find the roots of the quadratic equation 6x^(2)-x-2=0