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Algebra-related Problems

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1. Express in terms of i.
4 square root of -255

2. Subtract.
(5x^6 + 9x^4 - 2x^3 - 3) - (8x^6 - 8x^5 + x^4 - 4)

3. Given the quadratic function f(x) = x^2 - 18x + 81, find a value of x such that f(x) = 16

4. Joe has a collection of nickels and dimes that is worth $7.65. If the number of dimes was doubled and the number of nickels was increased by 35, the value of the coins would be $14.30. How many nickels and dimes does he have?

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Solution:

1.
4 sqrt(-255)
4i sqrt(255)

2.
(5-8)x^6 + 8x^5 + (9-1)x^4 - 2x^3 + (-3+4)
-3x^6 + 8x^5 + ...

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