give me random problems like this it must college level make 30 problems anything that has to do with square root property

Here are 30 college-level problems involving the square root property:

1. Solve for \( x \): \( x^2 = 49 \)
2. Solve for \( x \): \( x^2 - 36 = 0 \)
3. Solve for \( x \): \( 4x^2 - 81 = 0 \)
4. Solve for \( x \): \( 9x^2 - 25 = 0 \)
5. Solve for \( x \): \( 2x^2 + 50 = 0 \)
6. Solve for \( x \): \( x^2 + 10 = 25 \)
7. Solve for \( x \): \( (x-3)^2 = 64 \)
8. Solve for \( x \): \( (2x + 1)^2 = 49 \)
9. Solve for \( x \): \( (x + 5)^2 - 16 = 0 \)
10. Solve for \( x \): \( (3x - 2)^2 = 144 \)
11. Solve for \( x \): \( 2(x - 4)^2 = 50 \)
12. Solve for \( x \): \( 5(x + 3)^2 = 80 \)
13. Solve for \( x \): \( 3x^2 + 5 = 29 \)
14. Solve for \( x \): \( x^2 - 2x + 1 = 81 \)
15. Solve for \( x \): \( (x - 7)^2 = 49 \)
16. Solve for \( x \): \( 4x^2 + 16 = 0 \)
17. Solve for \( x \): \( x^2 + 9 = 40 \)
18. Solve for \( x \): \( 3(x + 2)^2 = 75 \)
19. Solve for \( x \): \( (x - 6)^2 = 0 \)
20. Solve for \( x \): \( x^2 - 20 = 5 \)
21. Solve for \( x \): \( 7(x + 4)^2 = 28 \)
22. Solve for \( x \): \( 8(x - 1)^2 = 72 \)
23. Solve for \( x \): \( 2x^2 - 50 = 0 \)
24. Solve for \( x \): \( x^2 + 16x + 64 = 0 \)
25. Solve for \( x \): \( 4(x + 3)^2 - 36 = 0 \)
26. Solve for \( x \): \( 3x^2 - 48 = 0 \)
27. Solve for \( x \): \( (2x - 3)^2 = 81 \)
28. Solve for \( x \): \( 9x^2 - 4 = 0 \)
29. Solve for \( x \): \( 5(x - 5)^2 = 100 \)
30. Solve for \( x \): \( (x + 7)^2 - 49 = 0 \)

Would you like details on any of these problems or have any specific questions?

Here are 5 related questions to expand on this topic:
1. How does the square root property relate to the quadratic formula?
2. What are the limitations of using the square root property in solving quadratic equations?
3. How can you apply the square root property to equations involving complex numbers?
4. Can the square root property be used in inequalities? If so, how?
5. How does the square root property apply to real-world problems, such as in physics or engineering?

**Tip:** When using the square root property, always remember to consider both the positive and negative roots when solving the equation.

Explore 30 college-level problems involving the square root property. These problems cover various equations where the square root property is applied, such as quadratic equations and complex equations. Includes detailed solutions and explanations.

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