Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5?
2 answers:
Answer: The correct option is
(B) 5, − one third , one half.
Step-by-step explanation: We are given to select the correct option that represents the zeroes of the following cubic function :
We know that
if for any number a, the function f(x) is zero at x =a , then x = a is a zero of the function f(x).
We have, for the given function, at x = 5,
So, x = 5 is a zero of the function f(x).
Now, we have
The zeroes of f(x) are given by
Thus, the zeroes of f(x) are 5, -one-third, one half.
Option (B) is CORRECT.
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Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For <em>this</em> to be true, the product ab must equal 1
