CBSE Class 10 Maths (Standard) 2023 · Paper 30(B)/5 · Question 32(a)

Quadratic Equations 5 marks Very hard

- 3

is a root of the quadratic equation

3 x^{2} + 14 x + p = 0

, find

p

and hence find

k

so that the roots of the quadratic equation

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

are equal.

Answer

p = 15

;

k = \frac{5}{3}

k = - 3

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