Assignment:
Q1. Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer.
a) x2 + 3x - 15 = 0
b) x2 + x + 4 = 0
c) x2 - 4x - 7 = 0
d) x2 - 8x + 16 = 0
e) 2x2 - 3x + 7 = 0
f) x2 - 4x - 77 = 0
g) 3x2 - 7x + 6 = 0
h) 4x2 + 16x + 16 = 0
Q2. Find an equation for which -3 and 4 are solutions.
Q3. What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.
Q4. Create a real-life situation that fits into the equation (x + 3)(x - 5) = 0 and express the situation as the same equation.
Provide complete and step by step solution for the question and show calculations and use formulas.