Uploaded March 2024 | Updated September 2026, 2 weeks ago
This problem from the Stanford math tournament (math competition for high school students) stanfordmathtournament.com
We have N = the sum of all real roots to the quadratic exponential equations 2^(2x)-2^(x+1)+1-1/k^2 for k=2, 3, β¦, 2023. And we have to compute 2^N. This question combines various algebra concepts, including a telescoping series, quadratic equation, exponential equation, and logarithm properties, which made me love this problem so much.
The indeterminate cat t-shirt: amzn.to/4aq2C1F
πͺ Get my math notes by becoming a patron: patreon.com/blackpenredpen
#maths #stanford #mathcompetition #logarithm #exponential #quadratic
This problem from the Stanford math tournament (math competition for high school students) stanfordmathtournament.com
We have N = the sum of all real roots to the quadratic exponential equations 2^(2x)-2^(x+1)+1-1/k^2 for k=2, 3, β¦, 2023. And we have to compute 2^N. This question combines various algebra concepts, including a telescoping series, quadratic equation, exponential equation, and logarithm properties, which made me love this problem so much.
The indeterminate cat t-shirt: amzn.to/4aq2C1F
πͺ Get my math notes by becoming a patron: patreon.com/blackpenredpen
#maths #stanford #mathcompetition #logarithm #exponential #quadratic
