Although the Quadratic Formula always works as a strategy to solve quadratic equations, it is not always the most efficient method. For example, sometimes, a faster method is to factor and use the Zero Product Property. For each equation below, choose the method you think is most efficient to solve the equation. Homework Help ✎
x2 + 7x – 8 = 0
Note the expression in this equation can be factored.
(x + 2)2 = 49
Notice that 49 is a perfect square.
5x2 – x – 7 = 0
Note the expression in this equation cannot be factored.
x2 + 4x = –1
Adding 4 to both sides will create a perfect square.