if one root of equation 5x+13x+k=0 is reciprocal of the other root then the value of k is
Answers
Answered by
79
let roots be a and 1/a
so a x 1/a = k/5
1 = k/5
k = 5
so a x 1/a = k/5
1 = k/5
k = 5
Answered by
78
Let one root of the given polynomial be Alpha.
Given that other zero is Reciprocal the one zero.
So,
Other zero = 1/Alpha.
Given polynomial is 5X² + 13X + K.
Here,
A = Coefficient of X²
B = Coefficient of X
And,
C = Constant term.
As we know that,
Product of zeroes = C/A
Alpha × 1/Alpha = K/5
1 = K/5
K = 5
Given that other zero is Reciprocal the one zero.
So,
Other zero = 1/Alpha.
Given polynomial is 5X² + 13X + K.
Here,
A = Coefficient of X²
B = Coefficient of X
And,
C = Constant term.
As we know that,
Product of zeroes = C/A
Alpha × 1/Alpha = K/5
1 = K/5
K = 5
Similar questions