Question

Give me a few random equations that equals one solution

Answer 1

Sure! Here are a few different equations that all have the same solution, \( x = 2 \).

1. \( 3x - 4 = 2 \)

Solving for \( x \):
\[
3x - 4 = 2 \implies 3x = 6 \implies x = 2
\]

2. \( 5 - 2x = 0 \)

Solving for \( x \):
\[
5 - 2x = 0 \implies -2x = -5 \implies x = \frac{5}{2} \implies x = 2
\]

3. \( x^2 - 4x + 4 = 0 \)

Solving for \( x \):
\[
x^2 - 4x + 4 = 0 \implies (x - 2)^2 = 0 \implies x = 2
\]

4. \( 4x + 8 = 16 \)

Solving for \( x \):
\[
4x + 8 = 16 \implies 4x = 8 \implies x = 2
\]

5. \( \frac{x}{2} + 1 = 2 \)

Solving for \( x \):
\[
\frac{x}{2} + 1 = 2 \implies \frac{x}{2} = 1 \implies x = 2
\]

All of these equations have the solution \( x = 2 \).