Account Sign in Sign up

AMC / AIME · Absolute Value · AIME / USAJMO / AMO

Absolute Value: (Proof track.) Give a complete justification. Find the sum of solutions of math.

Cases and graphs.

Try the problem

**(Proof track.)** Give a complete justification. Find the sum of solutions of

|x^2-4|=x

.

Hint and answer

Concept to use

Piecewise contests.

Hint

Break the real line at the expression's zeroes and justify each interval.

Answer

\sqrt17

More Absolute Value problems

(Proof track.) Give a complete justification. Solve math; enter the larger solution.
(Proof track.) Give a complete justification. For math, find math.
(Proof track.) Give a complete justification. Find the least math such that math for all math.

Practice more with the free Absolute Value worksheet generator, or browse the full problem library.