Quadratic factoring and solving


Assignment:

Solve by factoring:

Q1.    4x2 - 25 = 0
Q2.    x2 - 12x + 36 = 0
Q3.    x2 + 14x + 45 = 0
Q4.    6x2 - x - 15 = 0

Solve by completing the square.

Q5.    x2 - 4x + 3 = 0
Q6.    x2 + 5x - 1 = 0
Q7.    2x2 + 7x - 15 = 0

Solve by using the quadratic formula:
Q8.    x2 + 9 = 0
Q9.    x2 - 3x + 4 = 0
Q10.    2x2 + 3x = 6

Q11.  Given the quadratic expression x2 + 4x + c, determine the value of "c" such that the equation has 2 real solutions. Repeat and find "c" such that the equation has 1 real solution. Finally, repeat such that the equation has no real solutions.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Quadratic factoring and solving
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