Find the values of k, for which the quadratic equation (k + 4)x^2 + (k + 1)x + 1 = 0 has equal roots.... | SA 3m | Maths | SuperPadhai

Quadratic Equations > Question

SA3 marksYear: 2020MediumCBSE Class 10

quadratic-equationsequal-rootsdiscriminant

Question

Find the values of

k

, for which the quadratic equation

(k + 4) x^{2} + (k + 1) x + 1 = 0

has equal roots.

Solution

1

For equal roots:

D = 0

.

(k + 1)^{2} - 4 (k + 4) (1) = 0

+1 mark

2

k^{2} - 2 k - 15 = 0

+0.5 marks

3

(k + 3) (k - 5) = 0 \Rightarrow k = - 3, 5

+1.5 marks

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