Those lines, geometry?

Algebra Level 4

∣ 2 x − 1 ∣ + ∣ 3 x − 2 ∣ = ( − 1 / 2 ) n |2x - 1| + |3x - 2| = (-1/2)^n

where n n is an odd integer. Find the number of real solutions of x x .

infinite 2 1 0 4 none of the above

Shreyash Rai by Shreyash Rai , 34, India

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1 solution

Tom Engelsman
Nov 17, 2020

If n n is an odd integer, then the RHS will always be a negative value. The sum of two absolute value quantities can never be negative, which means there are ZERO real solutions of x . x.

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