9-4C Methods of Solving Quadratic Equations Adapted from Math 8H Completing the Square JoAnn Evans You will need a calculator for today’s lesson.

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9-4C Methods of Solving Quadratic Equations Adapted from Math 8H Completing the Square JoAnn Evans You will need a calculator for today’s lesson.

Five ways of solving ax 2 + bx + c = 0 Find the Square Root---an efficient way to solve ax 2 + c = 0 Note there is no middle term. Graphing---can be used for any quadratic, but may give only approximate solutions. Quadratic Formula---useful for any quadratic; gives exact solutions. Factoring---an efficient way to solve IF the equation is easily factored, which isn’t always the case. Completing the Square---can be used for any quadratic, but easiest when “a” is 1 and “b” is an even number.

Round to the nearest tenth if necessary.

Choose a method and solve the quadratic equation.

(half of 4) 2 Choose a method and solve the quadratic equation.

(half of 6) 2 Choose a method and solve the quadratic equation.

x equals negative b, plus or minus square root b squared minus 4ac, all over 2a.”

Choose a method and solve the quadratic equation.

(half of -10) 2 Choose a method and solve the quadratic equation.

(half of -4) 2 Choose a method and solve the quadratic equation.

(half of -8) 2 Choose a method and solve the quadratic equation.

9-A14 Handout A14.

To solve a quadratic by “Completing the Square”, follow these steps: 1.Make sure the coefficient of x 2 is Move everything to the LEFT side of the equation EXCEPT the constant. 3. Make the left hand side of the equation into a PERFECT SQUARE TRINOMIAL. 4. Remember, if you add a number to one side of an equation, you must add the same number to the other side of the equation. 5. Factor the left side into the SQUARE OF A BINOMIAL. 6. Take the square root of each side. Remember to add the ± symbol to the right side. 7. Solve for x.