https://file.aiquickdraw.com/mathbot/file/1726615699229a9g2gs37.jpg

The given equation is:

\[
X^2 - 10 = 6
\]

First, solve for \(X^2\) by adding 10 to both sides:

\[
X^2 = 16
\]

Now, take the square root of both sides:

\[
X = \pm 4
\]

This means the equation has two real and distinct roots, \(X = 4\) and \(X = -4\).

So the correct answer is:

**C. Nyata berbeda** (Real and distinct roots).

Would you like more details or have any questions? 

Here are some related questions:
1. How do you find the discriminant of a quadratic equation?
2. What does it mean for roots to be "real and distinct"?
3. How do imaginary roots arise in quadratic equations?
4. What is the process for solving quadratic equations using the quadratic formula?
5. How does completing the square work for solving quadratics?

**Tip**: For any quadratic equation, the discriminant (\(b^2 - 4ac\)) helps you quickly determine the nature of the roots.

Pada persamaan kuadrat X^2 - 10 = 6, maka akar-akarnya?

Learn how to solve the quadratic equation X^2 - 10 = 6. This step-by-step solution covers algebraic concepts, finding real roots, and understanding distinct solutions. Ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation