lean_workbook_plus_13812
ProvedFind if the real numbers , , , and satisfy the equations \n\n \begin{eqnarray*} ax + by &=& 3, \ ax^2 + by^2 &=& 7, \ ax^3 + by^3 &=& 16, \ ax^4 + by^4 &=& 42. \end{eqnarray*}
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_13812 (a b x y : ℝ) (h₁ : a * x + b * y = 3) (h₂ : a * x^2 + b * y^2 = 7) (h₃ : a * x^3 + b * y^3 = 16) (h₄ : a * x^4 + b * y^4 = 42) : a * x^5 + b * y^5 = 20 := by sorry
Source