(X-3)^2=6 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. Each problem requires solving for a variable using the square root property:

1. \((2x - 5)^2 = 16\)
2. \((x + 4)^2 = 25\)
3. \((3x - 7)^2 = 49\)
4. \((5x + 2)^2 = 81\)
5. \((x - 8)^2 = 64\)
6. \((4x + 1)^2 = 36\)
7. \((x - 6)^2 = 9\)
8. \((7x + 3)^2 = 100\)
9. \((2x - 9)^2 = 121\)
10. \((x + 5)^2 = 144\)
11. \((6x - 1)^2 = 225\)
12. \((x - 2)^2 = 196\)
13. \((3x + 4)^2 = 169\)
14. \((5x - 7)^2 = 256\)
15. \((x + 9)^2 = 289\)
16. \((8x - 5)^2 = 324\)
17. \((x - 1)^2 = 361\)
18. \((2x + 6)^2 = 400\)
19. \((x - 11)^2 = 441\)
20. \((9x + 8)^2 = 484\)
21. \((x - 3)^2 = 529\)
22. \((7x - 4)^2 = 576\)
23. \((x + 2)^2 = 625\)
24. \((5x + 3)^2 = 676\)
25. \((x - 10)^2 = 729\)
26. \((4x - 6)^2 = 784\)
27. \((x + 12)^2 = 841\)
28. \((3x - 2)^2 = 900\)
29. \((x - 13)^2 = 961\)
30. \((6x + 7)^2 = 1024\)

Would you like solutions to these problems or have any questions? 

Here are some related questions to further practice with the square root property:

1. How do you solve equations that have the square root on one side?
2. What happens if the squared term has a negative coefficient?
3. How do you deal with equations that have multiple variables and squares?
4. What are the steps to isolate the variable when solving these types of equations?
5. How does the square root property relate to completing the square?

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

Practice solving 30 college-level equations using the square root property. Each problem involves finding the variable using the square root property method. Improve your algebra skills with these exercises.

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