We know that "a" is a Irrational number .But "a2+a"

Brenden Tran

Brenden Tran

Answered question

2022-06-14

We know that "a" is a Irrational number .But "a2+a" is Rational. Can You find "a"?

Answer & Explanation

Savanah Hernandez

Savanah Hernandez

Beginner2022-06-15Added 16 answers

We have a 2 + a = r Q if and only if
a = 1 ± 1 + 4 r 2 .
Any r Q such that 1 + 4 r is not a perfect square will do.
Roland Manning

Roland Manning

Beginner2022-06-16Added 5 answers

Hint complete the square you get ( a + 1 2 ) 2 1 4 so any number of the form n 1 2 will give it as a cancels out with a making number rational.

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