How to solve the roots of the ff QE r²=0

The quadratic equation you provided is:

\[
r^2 = 0
\]

### Steps to solve for the roots:
1. Start by recognizing that this is already a simple quadratic equation of the form \( r^2 + 0r + 0 = 0 \).
2. Factor the equation (if needed):
   \[
   r^2 = 0 \implies (r)(r) = 0
   \]
3. Set each factor equal to zero:
   \[
   r = 0
   \]

### Conclusion:
The root of the equation \( r^2 = 0 \) is:
\[
r = 0
\]

This equation has a **double root**, meaning \( r = 0 \) is the only solution, but it has multiplicity 2 (it "counts twice").

Would you like more details on quadratic equations, or have any other questions?

Here are 5 related questions:
1. What are the roots of \( r^2 + 4r = 0 \)?
2. How do you find the roots of a general quadratic equation?
3. What does it mean when a quadratic equation has one double root?
4. Can a quadratic equation have complex roots?
5. How does the discriminant help in solving quadratic equations?

**Tip:** When the quadratic term alone equals zero, the root is always zero with a multiplicity equal to the degree of the term.

How to solve the roots of the quadratic equation r²=0?

Discover how to solve the quadratic equation r² = 0 with a clear, step-by-step explanation. Learn about factoring and the concept of double roots. This problem is ideal for students in Grades 7-9, covering key algebraic principles.

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