Question

Solving quadratic equations is one of the main topics of this unit. Some quadratic equations can be solved with only one method, some can be solved with multiple methods, and some can’t be solved at all. Think about a task in your daily life that can be accomplished in a variety of ways. How do you decide the best course of action for accomplishing that task? How is this process like choosing a method for solving a quadratic equation that can be solved in multiple ways?

Answer 1

The method for solving a quadratic equation, just like the way we choose to cook depends on the nature of the equation facing us.

Quadratic equation

A quadratic equation is an equation of the sort f(x) = ax^2 + bx + c = 0. The methods of solving a quadratic equation include;

• Factorization
• Formula method
• Completing the square
• Graphical method

Just like in daily life, the method chosen for solving a quadratic equation depends on the need of the moment. If I want to cook, I could use a microwave, a gas stove or  firewood. The method I choose depends on the kind of food I want to prepare.

Similarly, the method for solving a quadratic equation depends on the nature of the equation facing us.

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