Question

if sum of zeros of P of x is equal to K X square + 2 X + K is equal to product of zeros find k

Answer 1

Heya dear !!!

P(X) = KX² + 2X + K

Here,

A = K , B = 2 and C = K

Sum of zeroes = -B/A

Alpha + Beta = -2/K ------(1)

And,

Product of zeroes = C/A

Alpha × Beta = K/K = 1 ------(2)

According to question,

Sum of zeroes = Product of zeroes

Alpha + Beta = Alpha × Beta

-2/K = 1

K = -2.

;-)) HOPE IT WILL HELP YOU...... :-))


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THANKS :)))