Write an equation representing the fact that the product of two consecutive odd integers is 195. Use & to represent the smaller integer.

Let the smaller odd integer be represented by `&`. The next consecutive odd integer will be `& + 2`.

The product of these two integers is 195, so the equation can be written as:

\[
& \times (& + 2) = 195
\]

Would you like help solving this equation or any clarifications?

Here are 5 related questions:
1. How can we solve this equation for the value of `&`?
2. What are consecutive odd integers in general?
3. How do you factor quadratic equations when solving for unknowns?
4. Can this equation be solved by trial and error for small numbers?
5. What are other examples where consecutive integers are used in word problems?

**Tip:** When solving equations with consecutive odd or even numbers, always express the second number in terms of the first for easy calculation.

Learn how to write and solve a quadratic equation for the product of two consecutive odd integers that equals 195. This step-by-step guide explores key algebraic concepts, including quadratic equations and integer patterns, suitable for students in Grades 8-10.

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