Solving Quadratic Equations
Use your understanding of completing the square for expressions to solve equations (solve for \(x\)) by completing the square. Show the solutions using both algebra tiles and algebra.
Hint: Remember that what you do to one side of the equation you must do to the other.
1) \(x^2+2x =7\)
2) \(x^2-3x =8\)
3) \(x^2-6x =4\)
Now, use the quadratic formula to solve the same three problems.
\(x = \dfrac{-b±\sqrt{b^2-4ac}}{2a}\)
Were your answers the same? What are the pros and cons for each of the strategies? Would your choice of strategy be dependent upon the equation? Why or why not?
