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Module 16
Solving Quadratic Equations by Completing the Square
Question | Answer |
---|---|
Standard Form of Quadratic Equation | ax^2+bx+c=0 |
Square Root Property | if a^2=b then the square root of a equals plus or minus b |
Perfect Square Trinomial | ax^2+2ab+b^2 = (a+b)^2 |
Completing the Square means | writing a quadratic equation so that one side is a perfect square trinomial. |
What is added to both sides of an equation to complete the square? | The square of 1/2 the coefficient of x. |
5 Steps used to solve ax^2+bx+c=0 by completing the square: | 1. Divide both sides of equation by coefficient of x^2. 2. Isolate the variable x. 3. Complete the square. 4. Factor the square. 5. Use the square root property. |
Simple Interest Formula | I=Prt |
Compound Interest Formula | A=P(1+r)^t |