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solve the radical equation and quadratic equation

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Please solve attached exercises using the Equation Editor, you must show work. Answers are already provided from the actual book. You must show however how you have arrived at the answer. Thank you.

Exercise 17 Find all real solution to each equation: x^2 + 9 = 0

Exercise 29 Solve each equation and check for extraneous solutions: sqrt(x - 3) - 3 = 4

Exercise 31 Solve each equation and check for extraneous solutions: 2*sqrt(w + 4) = 5

Exercise 11 Solve each equation by using the quadratic formula: - 6z^2 + 7z + 3 = 0

Exercise 23 Solve each equation by using the quadratic formula: 2t^2 - 6t + 1 = 0

Exercise 35 Find the discriminant b^2 - 4ac and the number of real solutions to the equation: 4m^2 +25 = 20m

Exercise 45 Find the determinant b^2 - 4ac and the number of real solutions to the equation: x^2 =x

Exercise 83 Find solution, if irrational, find approximate.
Projected pine cone. If a pine cone is projected upward at a velocity of 16ft/sec from the top of a 96-foot pine tree, then how long does it take to reach the earth?

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The solution shows how to solve the radical equation and quadratic equations. It also explains the relation between the discriminant and the number of solutions to the quadratic equation.

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