Monthly Archives: April 2012

Algebra: Chapter 13, Lesson 5, page 595. Solving Rational Equations Remember, we solve rational equations by multiplying both sides by the LCM of all the denominators. This can result in a quadratic equation. Sometimes, there can be extraneous solutions, so … Continue reading →

Algebra: Chapter 13, Lesson 4, page 589 (day #2). The Quadratic Formula, finally! Given that `ax^2 + bx + c = 0`, then the quadratic formula `x = (−b±sqrt(b^2−4ac))/(2a)` gives the solutions of the quadratic equation. This requires that the … Continue reading →

Algebra: Chapter 13, Lesson 4, page 589. The Quadratic Formula, finally! Given that `ax^2 + bx + c = 0`, then the quadratic formula `x = (−b±sqrt(b^2−4ac))/(2a)` gives the solutions of the quadratic equation. This requires that the quadratic equation … Continue reading →

Algebra: Chapter 13, Lesson 3, page 586. Solving quadratics by completing the squares We can use the technique of completing the square to solve quadratic equations. Recall that the addition property allows us to add a number to both sides … Continue reading →

Algebra: Chapter 13, Lesson 2, page 580. More Solving Quadratic Equations Solve a quadratic equation of the form `ax^2 = k` Example: `-3x^2 + 7 = 0` becomes … `-3x^2 = -7` or `x^2=7/3` then `x = ±sqrt(7/3)`, don’t forget … Continue reading →