We have quadratic equation x^2-4x-21-q=0 and we know that q

gaitaprepeted05u

gaitaprepeted05u

Answered question

2022-04-20

We have quadratic equation x24x21q=0 and we know that q is a ' number. The question is to find every value of q where the equation has whole solutions. I found one q=11 but I don't understand how to prove that no other ' will satisfy this equation.

Answer & Explanation

Dexter Conner

Dexter Conner

Beginner2022-04-21Added 15 answers

Solved it with a hint from Mr. Peter. Taking the D1=(b2)2ac=q+25, for the solutions to be whole, D1 must be a perfect square, so take some k2=q+25.
q=k225
q=(k+5)(k5)
For q to be ' k5 needs to be equal to 1 since it is one of the two factors of a ' number.
k5=1
k=6
plug in q=6225=11. Check that value of 11 for q yields whole roots, which it does.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?