Math, asked by sree897, 1 year ago

if the zeros of 3x square + 8 x + K are reciprocal to each other ,then the value of k is:-

Answers

Answered by atd01
1
Zeros of a polynomial means its roots

Let the roots are w and z

Then,

wz = 1

d/a = 1

K/3 = 1

K = 3

Please ask if you still have a doubt

atd01: w x z (product of roots)
sree897: .....=1? how
atd01: if a quadratic equation is ax2 +bx +c, product of roots = b/a
atd01: sorry, its -b/a
atd01: so there is a mistake in my answer
sree897: ok
atd01: actually, the answer is correct
atd01: I'm sorry about this, the answer I gave is actually correct. product of roots is c/a if quadratic equation is ax2 + bx + c = 0. Here it says that the two roots are reciprocal of each other. Therefore there product would be 1 . Hence product of roots = c/a = K/3 = 1. K=3
atd01: I'm so sorry I left the answer without explanation as I was in a hurry that time
sree897: it's ok brother and thanks a lot..
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