problem
Power quady
Age
16 to 18
Challenge level
Find all real solutions of the equation (x^2-7x+11)^(x^2-11x+30) = 1.
problem
Implicitly
Age
16 to 18
Challenge level
Can you find the maximum value of the curve defined by this
expression?
problem
Symmetricality
Age
14 to 18
Challenge level
Five equations and five unknowns. Is there an easy way to find the unknown values?
problem
Unit interval
Age
16 to 18
Challenge level
Can you prove our inequality holds for all values of x and y between 0 and 1?
problem
Common divisor
Age
14 to 18
Challenge level
Can you find out what numbers divide these expressions? Can you prove that they are always divisors?
problem
Direct logic
Age
16 to 18
Challenge level
Can you work through these direct proofs, using our interactive proof sorters?
problem
Quad solve
Age
16 to 18
Challenge level
Can you solve this problem involving powers and quadratics?