Assignment:
Q1. Decide all values of b in the following equations that will give one or more real number solutions.
a) 3x2 + bx - 3 = 0
b) 5x2 + bx + 1 = 0
c)-3x2 + bx - 3 = 0
d) Write a rule for judging if an equation has solutions by looking at it in standard form.
Solve the following three quadratic equations, using what you consider to be the optimum method for each problem (factoring, square root method, etc.). Why did you choose this method?
Q2.(x - 1)2
Q3. x2 - 9x - 4 = 6
Q4. 4x2 - 8x + 3 = 5
Q5. Which method of solving a quadratic equation seems simplest to you? Which method should you try first?
Q6. Complete this statement: “You can tell an equation is quadratic and not linear by……”
Provide complete and step by step solution for the question and show calculations and use formulas.