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Solving quadratic equation with square roots 

The image shows a list of quadratic equations under the title "Solving Quadratic Equations with Square Roots." Here are the equations as written:

1. \( k^2 = 76 \)
2. \( k^2 = 6 \)
3. \( x^2 = 21 \)
4. \( x^2 = 28 \)
5. \( x^2 + 8 = 28 \)
6. \( 2x^2 = 22 \)
7. \( 6m^2 - 2 = -414 \)
8. \( 7x^2 - 21 = -14 \)
9. \( m^2 + 7 = 88 \)
10. \( 5x^2 = -500 \)
11. \( 7x^2 = -448 \)
12. \( 2k^2 = 162 \)
13. \( x^2 - 5 = -73 \)
14. \( 6k^2 = 49 \)

Would you like me to solve these equations step by step? Let me know if you have specific equations you'd like me to start with! 

Here are five questions for further practice:

1. How do you simplify equations involving square roots?
2. What are the possible values of \( x \) when \( x^2 = 25 \)?
3. Can all quadratic equations be solved using square roots?
4. What happens if the equation has a negative number on the right side of the square term?
5. How do you handle coefficients in front of the square term (like in \( 2x^2 = 22 \))?

**Tip**: Always check if a quadratic equation can be simplified first by isolating the square term before applying square roots.

Solving quadratic equations with square roots as shown in the image.

Learn how to solve quadratic equations using square roots with step-by-step solutions. The equations range in complexity, addressing topics like isolating the square term and solving for variables. This guide is designed for students in Grades 8-10 and covers core algebraic concepts.

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