Fix the Reciprocal Zeroes Mistake

Understand the problem

1 of 3

First, understand the question

Do not start calculating until the given information and the required answer are clear.

Problem

If α,β\alpha,\beta are the zeroes of p(x)=x2−x+kp(x)=x^2-x+k and 1α+1β=12,\frac1\alpha+\frac1\beta=\frac12, find kk.

What are we trying to do?

Find the value of kk using the given sum of the reciprocals of the two zeroes.

Build the solution one reason at a time

Read why each action is needed. Then use it to change the mathematical model.

x2−x+kx^2-x+k

coefficients

→
α+β=?\alpha+\beta=?
αβ=?\alpha\beta=?
1α+1β=?\frac1\alpha+\frac1\beta=?
Helpful?