Search results
2021 AMC 12 A problems and solutions. The test will be held on Thursday, February , . 2021 AMC 12A Problems. 2021 AMC 12A Answer Key. Problem 1. Problem 2. Problem 3. Problem 4. Problem 5.
The problems and solutions for this AMC 12 A were prepared by the MAA AMC 10/12 Editorial Board under the direction of Azar Khosravani and Carl Yerger, co-Editors-in-Chief.
Recall that the conjugate √ of the complex number w = a + bi, where a and b are real numbers and i = −1, is the complex number w = a − bi. For any complex number z, let f (z) = 4i z. The polynomial P(z) = z4 + 4z3 + 3z2 + 2z + 1 has four complex roots: z1, z2, z3, and z4.
Problem 21. The five solutions to the equation. (z 1)(z2 + 2z + 4)(z2 + 4z + 6) = 0. may be written in the form xk + yki for 1 k 5, where xk and yk are real. Let E be the unique ellipse that passes through the points (x1, y1), (x2, y2), (x3, y3), (x4, y4), (x5, y5). The eccentricity of E can be written in the form pm.
The following problem is from both the 2021 AMC 10A #9 and 2021 AMC 12A #7, so both problems redirect to this page.
Learn with outstanding instructors and top-scoring students from around the world in our AMC 12 Problem Series online course. CHECK SCHEDULE 2021 AMC 12A Problems
Train for the AMC 12 with outstanding students from around the world in our AMC 12 Problem Series online class.
