MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Discriminant

Find the valu...

Question

Find the value of K, If the roots of the following quadratic equation are equal : $x^{2} + K x^{2} + 1 = 0$

Open in App

Solution

$x^{2} + k x + 1 = 0$
We have equal roots
So, $b^{2} - 4 a c = 0$
$⟹ k^{2} - 4 = 0$
$⟹ k = \pm 2$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find that non-zero value of k, for which the quadratic equation

k x^{2} + 1 - 2 (k - 1) x + x^{2} = 0

has equal roots. Hence find the roots of the equation.

Q. If quadratic equation

k x^{2} + 2 x + k = 0

has two equal roots, then find the value of

k

Q. If the following quadratic equation has two equal and real roots then find the value of

k

:

k x^{2} - 24 x + 16 = 0

Q. If the roots of the quadratic equation

k x^{2} + (a + b) x + a b = 0

(- 1, - b)

, find the value of k.

Q. If one root of the quadratic equation

k x^{2} - 7 x + 5 = 0

1

, then find the value of

k

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Nature and Location of Roots

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon