Math Problem Statement

Shover

Simplify or solve the expression √(x² + 8x - 9)

Solution

The expression provided in the image is:

x2+8x9\sqrt{x^2 + 8x - 9}

Would you like to simplify this, solve for xx, or explore some other aspect of the expression? Let me know what you're aiming to do!

Here are 5 related questions you might find useful:

  1. How can we factor the quadratic expression inside the square root?
  2. What is the domain of the function f(x)=x2+8x9f(x) = \sqrt{x^2 + 8x - 9}?
  3. What happens if we set x2+8x9=0x^2 + 8x - 9 = 0? What are the solutions for xx?
  4. Can this expression be simplified further if it represents a function?
  5. How can we graph the function f(x)=x2+8x9f(x) = \sqrt{x^2 + 8x - 9}?

Tip: When dealing with square roots, always consider if the expression inside the root can be factored or simplified!

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Expressions
Square Roots

Formulas

Quadratic equation formula ax² + bx + c = 0
Square root simplification

Theorems

Quadratic formula
Factoring theorem

Suitable Grade Level

Grades 8-10