Given the equation:

\[
\frac{ax + 1}{bx} = k
\]

We want to find the value of:

\[
(ax)^2 + \left(\frac{1}{bx}\right)^2
\]

### Step 1: Express \(ax\) and \(\frac{1}{bx}\) in terms of \(k\)
Starting with the original equation:

\[
\frac{ax + 1}{bx} = k
\]

Multiply both sides by \(bx\):

\[
ax + 1 = k \cdot bx
\]

Rearrange the equation:

\[
ax - k \cdot bx = -1
\]

Now, express \(ax\) and \(\frac{1}{bx}\) separately.

1. **Do you need more steps on solving for ax and bx?**
2. How much elaboration on substitution do you want?
3.

ax + 1 / bx = k then (ax)^2 + 1 / (bx)^2 = ?

Learn how to solve the algebraic expression (ax + 1) / bx = k and find the value of (ax)^2 + (1 / bx)^2 with a detailed step-by-step solution. This problem covers key concepts in algebra, including manipulation of equations and solving quadratic expressions. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation