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# Solving Various Equations

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Solve each equation and problem below.

1. sqrt(1/5) + 4 = 14
2. sqrt(3a/2) - 1 =5
3. sqrt(8y) = 1/2
4. sqrt(3n) = 2/5
5. The square root of one fourth of a number is 6. Find the number.
6. sqrt(5k + 2) + 8 = 11
7. sqrt(7d - 9) = sqrt(2d + 21)
8. sqrt(x^2 + 3x) = 2
9. sqrt(3w + 10) - w = 0
10. When 11 is subtracted from twice a number, the square root of the result is 4. Find the number.
11. sqrt(x-3) = x - 3
12. x + 2 = sqrt(18 - x)
13. y = 5 + sqrt(3y - 5)
14. sqrt(7m + 25) - m = 1
15. Three times the square root of a number is the same as 4 times less than the number. Find the number.

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#### Solution Summary

Fifteen equation problems are solved in an attached Word document.

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