4/12/2024 0 Comments Solving quadratic equation![]() ![]() Loh believes students can learn this method more intuitively, partly because there’s not a special, separate formula required. It’s quicker than the classic foiling method used in the quadratic formula-and there’s no guessing required. When solving for u, you’ll see that positive and negative 2 each work, and when you substitute those integers back into the equations 4–u and 4+u, you get two solutions, 2 and 6, which solve the original polynomial equation. ![]() When you multiply, the middle terms cancel out and you come up with the equation 16–u2 = 12. So the numbers can be represented as 4–u and 4+u. If the two numbers we’re looking for, added together, equal 8, then they must be equidistant from their average. Instead of starting by factoring the product, 12, Loh starts with the sum, 8. Those two numbers are the solution to the quadratic, but it takes students a lot of time to solve for them, as they’re often using a guess-and-check approach. “Normally, when we do a factoring problem, we are trying to find two numbers that multiply to 12 and add to 8,” Dr. If you have x², that means two root values, in a shape like a circle or arc that makes two crossings. Since a line crosses just once through any particular latitude or longitude, its solution is just one value.
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