An algebra problem by Vishnu Kadiri

Algebra Level 4

Find the number of possible values of $a$ in the interval $3<a<4$ such that $a (a - 3\{ a \} )$ is an integer.

Notation: $\{ \cdot \}$ denotes the fractional part function .

1 solution

Vishnu Kadiri
Oct 10, 2016

You just copied the solution from RMO, which I didn't understand I thought this might do but no. May I know how $(3+x)(3-2x)$ is an integer?

Viki Zeta - 4 years, 8 months ago

a=3+x. a-3{a}=a-3x=a-2x

Vishnu Kadiri - 4 years, 8 months ago

You must mention that in your solution.

Viki Zeta - 4 years, 8 months ago

@Viki Zeta – That's understood.

Vishnu Kadiri - 4 years, 8 months ago

@Vishnu Kadiri – No not. Your solution lags. You are skipping steps. Anyway good solution.

Viki Zeta - 4 years, 8 months ago

@Viki Zeta – Those steps are easy to be skipped.

Vishnu Kadiri - 4 years, 8 months ago

@Viki Zeta – Where does the solution lag?

Vishnu Kadiri - 4 years, 8 months ago