Solving quadratic equations by factoring


Assignment:

Q1. Work with a partner to decide all values of b in the following equations that will give one or more real number solutions.

A. 3x^2 + bx-3= 0
B. 5x^2 + bx+1= 0
C. -3x^2 +bx-3= 0
D. Write a rule for judging if an equation has solutions by looking at it in standard form.

*What is your conclusion?*

Q2. Solve the following quadratic equations by factoring or by any of the techniques of this chapter using what you consider to be the optimum method for each problem. Share why you chose one method over the other for each problem.

A. (x - 1)^2 = 7
B. x^2 - 9x - 4 = 6
C. 4x^2 - 8x + 3 = 5

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

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Algebra: Solving quadratic equations by factoring
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