Math Problem Statement

Direct answer no steps

What is the least value of x that is a solution to the equation √(x + 1)^2 = x + 1?

Solution

It seems the OCR didn't correctly extract the content of the image. I'll analyze the image visually instead.

The problem in the image asks to solve:

(x+1)2=x+1\sqrt{(x + 1)^2} = x + 1

The least value of xx that satisfies this equation is 1\boxed{-1}.

Let me know if you need more details or have questions.


Here are 5 related questions to explore further:

  1. What happens if we solve (x2)2=x2\sqrt{(x - 2)^2} = x - 2?
  2. How do you solve x2+2x+1=x+2\sqrt{x^2 + 2x + 1} = x + 2?
  3. Why is the least solution preferred in some cases?
  4. What is the effect of squaring both sides of a square root equation?
  5. Can there be extraneous solutions when solving square root equations?

Tip: Always check for extraneous solutions when solving equations involving square roots.

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Math Problem Analysis

Mathematical Concepts

Algebra
Square Root Equations

Formulas

√(x + 1)^2 = x + 1

Theorems

Properties of Square Roots

Suitable Grade Level

Grades 9-11