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Solving Equations

How do you solve these? Please show steps.

Use Quadratic formula Don't forget "i"

1) Solve by the square root property

(2x + 5)^2 = 81

2) Solve by completing the square

x^2 + 6x - 4 = 0

3) Solve by any method

4x^2 - 7x + 5 = 0

4) Solve by any method

25x^2 - 64 = 0

5) Solve by any method

x^2 + 6x -1 = 0

6) Solve by any method

x^2 - 2x = 8

7) Solve by any method

(x - 3)(2x + 2) = -15

8) Solve by any method

25x^2 + 9 = 0

9) What are the x intercepts of:

y = 2x^2 - 10x + 8

10) What are the y intercepts of:

y = - 2x^2 + 10x - 8

11) If f(x) = -3x^2 - 4x + 5, evaluate for f(-2) and f(3)

12) If a right triangle has sides (or legs) of 7 and 24, what is the hypotenuse side equal to? (Pythagorean Theorem)

13) If a right triangle has sides of 12 and 5, what is the hypotenuse side equal to?

14) If a right triangle has a hypotenuse side equal to 13 and one side equal to 5 what is the other side?

15) If a right triangle has a hypotenuse side equal to 16 and one side equal to 9 what is the other side?

Solution Summary

Thirteen equations are solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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