Some Math Problems
1. Subtract and simplify. (-8+5i)-(-5-8i)
2. Simplify. (-i)6
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3. Determine the nature of the solutions of the equation. x2 – x + 8 = 0
4. Multiply and simplify the following expression. [x – (5+9i)] [x – (5-9i)]
5. Use the quadratic formula to find the exact solutions of the following equation. x2 + 6x + 4 = 0
6. Solve. x-9√x + 8 = 0
7. For the function f(x) = -8x2 -40x + 3. find the vertex, determine whether there is a maximum value and find that value, find the range, and find the intervals on which the function is increasing and decreasing.
8. Solve. √x+49 = x-7
9. Solve 1/A = 1/s + 1/t for t.