Morocco l Olympiad Math exponential problem l x=? l easy solution.

Morocco l Olympiad Math exponential problem l x=? l easy solution.
#maths #matholympics #mathproblem #matheolympiad #mathematics #mathcompetition #mathoperation #education #mathcontest #mathstricks #mathviral #mathviralvideo #mathexponentialequation

[@mashabali786]

🎉❤🎉❤

[@CelsoJr.Carillo]

It is easier to do trial and error, but to show solution you have to do this...

[@stickanimation9888]

Please next time tell me if the solution is in N OR R

[@michaeledwards2251]

I recognized the solution : I knew 9^2 - 4^2 = 65 from other questions : a general solution is outstanding!

[@walterwen2975]

Olympiad Math: 9ˣ - x⁴ = 65; x =?
9ˣ > 65 > x⁴ > 1; x = 3, 9ˣ - x⁴ = 3²ˣ - x⁴ = 3⁶ - 3⁴ = 8(81) > 65; 3 > x > 1
9ˣ - x⁴ = 3²ˣ - (x²)² = (5)(13) = (9 - 4)(9 + 4) = 9² - 4² = 3⁴ - 4²; 2x = 4 = x²; x = 2
Answer check:
9ˣ - x⁴ = 9² - 2⁴ = 81 - 16 = 65; Confirmed
Final answer:
x = 2