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I've seen this trick very often on YT in the last months. really no one uses a very easy method to solve such an equation of third degree after multiplying the equation with -1 we receive: x³ - x² + 80 = 0 by inspection we found, that one solution is x = -4 Therefore x³ - x² + 80 = (x+4)(x² + ax + 20) the variable a can be found by comparing left and right side by writing the right side without the brackets
you had the answer at 1 minute 20 seconds. X =-4 -4 times -4 =16. -4 times -4 times -4 = -64. 16 - (-64) =80 (not easy to type out clearly) He was just fitting in numbers to make it work, like @robertloveless4938 said. After all -15 plus -65 also equals -80 but that doesn't work in the equation. You either have to guess -4 or just keep trying numbers until it works.
I cheated. I immediately knew x had to be negative, then I plugged in numbers, starting with -3 (answer =36), and worked the numbers. . Fortunately, I didn't have to go past 4.
You cheated no more than "Learncommunolizer did ! He had to know that X equaled -4 to plug in his equation at the 1:20 ish point. But YES, it was clear it had to be negative.
