video1.0<iframe src="https://www.loom.com/embed/2f08a98d633e40f180681ce42e5dd9f7" frameborder="0" width="1838" height="1378" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>13781838Loomhttps://www.loom.com13781838https://cdn.loom.com/sessions/thumbnails/2f08a98d633e40f180681ce42e5dd9f7-408949df3e153824.gif2838.841This Loom works through a set of Grade 9 algebra and calculus-related calculator style problems. It shows combining and subtracting algebraic fractions, simplifying to a final rational expression, and then uses iterative formulas to approximate roots of cubics starting from specific guesses like x0 = -2.5 and x0 = 1.45. The video also covers relationships and checks for solutions using sign changes, midpoint and gradient calculations, solving equations by rearrangement and substitution, and algebraic proofs such as showing a difference between squares of consecutive odd numbers is a multiple of 8. Multiple numerical values are found along the way, including iterations converging to around -2.6 and solution estimates near 1.4496.