if alpha and 1/alpha are the zeroes of the polynomial 3x2 +x +(k-2) find k
Answers
Answered by
13
GIVEN :
and are the zeroes of the polynomial
TO FIND :
The value of k in the given polynomial.
SOLUTION :
Given polynomial is
Given that and are the zeroes of the polynomial
Compare the given polynomial with we get the values a = 3 , b = 1 and c = k - 2 ,
Substitute the values in the formula we get,
3=k-2
k-2=3
k=3+2
∴ k=5
∴ the value of k in the given polynomial is 5.
Answered by
2
Sol :-
To find -
value of k
Explanation -
α x 1/α =c/a
In polynomial 3x² + x + (k - 2),
a = 3 , b = 1 , c = k - 2
.'. α x 1/α =c/a
⇒ 1 = k - 2 / 3
⇒ k - 2 = 3
⇒ k = 2 + 3
⇒ k = 5
.'. the value ok k in 3x^2 + x + (k - 2) is 5
Additional information :-
.'. polynomial is 3x² + x + 5 - 2
⇒ 3x² + x + 3
Similar questions