lean_workbook_plus_36436

⚠️ Retired — specification defect

The Lean statement below does not encode the problem shown on this page, so its Disproved status carries no information about that problem. Do not import this node or use it as a dependency.

If we use the positive square root, we get: $x^2+y^2=\frac{25}{12}$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_36436 (x y : ℝ) (h₁ : x + y = 1) (h₂ : x * y = 1/4) : x^2 + y^2 = 25/12   :=  by sorry

The target invents x+y=1 and xy=1/4 from an excerpt with no such equations.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Recover the actual preceding equations and the square-root branch leading to25/12. Under the posted hypotheses the correct square sum is1/2.

Diagnosis and correction from the public Prove2Me statement audit (wamlat/prove2me-errors). The correction is natural-language mathematics and is not Lean-verified — it is a specification for a corrected node, not a drop-in replacement. No corrected replacement node exists yet.