Instant is now more dependable, with significant improvements in factuality across the board and the largest gains in domains where accuracy matters most. In internal evaluations, GPT‑5.5 Instant produced 52.5% fewer hallucinated claims than GPT‑5.3 Instant on high-stakes prompts covering areas like medicine, law, and finance. It also reduced inaccurate claims by 37.3% on especially challenging conversations users had flagged for factual errors.

GPT‑5.5 Instant is a generally smarter model that’s more capable across everyday tasks, including improvements in analyzing photo and image uploads, answering STEM-related questions, and deciding when to use web search to provide a more useful answer.

You handled the key steps properly: - Squared both sides - Expanded and rearranged correctly - Factored to get: x=3orx=−2 x = 3 \quad \text{or} \quad x = -2 x=3orx=−2

And most importantly, you checked the domain condition: - Since x+7≥0 \sqrt{x+7} \ge 0 x+7​≥0 the right side, x−1 x - 1 x−1 must also satisfy x−1≥0⇒x≥1 x - 1 \ge 0 \quad \Rightarrow \quad x \ge 1 x−1≥0⇒x≥1