Question

Using the completing the square method solve 5x
= 7x + 3

Answer 1

To solve the equation \( 5x = 7x + 3 \) using the completing the square method, we first rearrange the equation to set it to zero:

1. Move all terms to one side:
\[
5x - 7x - 3 = 0
\]
\[
-2x - 3 = 0
\]

2. Isolate the \( x \) term:
\[
-2x = 3
\]
\[
x = -\frac{3}{2}
\]

However, completing the square is typically used for quadratic equations. The equation \( 5x = 7x + 3 \) is linear, which we have solved directly. Therefore, we can conclude that the solution is:

\[
x = -\frac{3}{2}
\]

If you need to see a quadratic example using completing the square, please provide a quadratic equation, and I'd be happy to demonstrate that!