Left side: combine powers of fractions until you get 5 to the power of 7/8. On the right side, 125^x is the same as 5^3x. 3x = 7/8; x = 7/24. You can also do it by reducing fives until you get 5^(3.5 -12x) = 1, then 3.5-12x = 0, x = 3.5/12, which is the same result
20 years ago as an engineering student and probably one of the best times of my life, I could just zip through this equations. Thanks for the memorys. NorCal
@@bertblankenstein3738He rewrited many time with the aims : to all kinds of the viewers who had watched this video. I think he is a good man when he did so.Tks!
@@MathsExplorer24 It's not the method; it's the speed. I think you could present this clearly in 3 or 4 minutes instead of 10 simply by being more efficient.
@@berkeleyrc That's how I did it in my head very quickly as well. I do like to see how other people solve things though, shows how different brains work. As a former math teacher, I appreciate someone who shows all their steps as well
If you do the sqrt2 maths it is easier and faster, you can do it in your head then. You will have 5^7/8 = 125^x then power to 3 or sqrt3 you will get with power 3, 125^7/8 = 125^3x then 7/8 = 3x and x= 7/24
1/write correctly seven instead 1 2/the task can also be easily calculated from the last root on the right to the largest root without square very quickly!Try!
These problems seemed like a headache and nightmare during school days but now it is ok. Thanks to the patience which I have gathered over the years...
I went with the second method because that is more easier logical way to see it and faster if you are not prepared to do the first way. So I spent a lot of time doing it in my head without any paper and pen and I came to the right answer. Then I saw that your video continued. 😢😊
During verification, separately solve LHS and RHS, because when you put an = sign from the beginning, it states that they are equal, so there is no need for verification. Hope you understand what I'm trying to say.
@@elenaterskova6422 а ещё быстрее завести множитель под знак корня, слева будет корень шестой степени, а потом же и возводить в шестую степень левую и правую часть.
Brilliant video, however think a longer form with voice audio explaining this would be little more helpful. Just watching you right this out meant nothing to me. But I would love a better explanation how this was solved
Personalmente avrei seguito un metodo più semplice. Avrei trasformato le radici di sinistra raggruppando tutti i 5 e a destra avrei scomposto il 125 nei suoi numeri primi ottenendo √√√5^7=5^3x 5^(7/8)=5^3x 3x=7/8 X=7/24
I thought for sure I aced algebra when I took my first test. The teacher failed me because I answered every problem with an "X" I thought "X" was the unknown. The answers were unknown to me.
How the heck can this be useful. I'm a 60 year old linguistics professor that has travelled and lived all over the world. I was a paratrooper for 15 years. I've never had any occasion in which something like this had any relevance. I've built bridges, and shelters without any of this. How is it not a waste of time?
Four parts to a square the center 25 would be the one in the center of the square can you have a 125 X found extending for an extra 25 in a square root |__|square ruot
Not 'a bit unnecessary' but totally unnecessary. These so-called YT maths teachers have no insight and no artistic feeling for mathematics. All they can teach is low-grade drudgery for unthinking students.
Where there any of those square/ root operations that could have had a +/- answer? Like sqrt(25) can be -5 as well. Maybe with the operations involved it doesn’t matter. But could this have two correct answers?
5 is a positive number, so the square root of 5 has only one positive answer. In the case, for example x^2 = 4 ==> x = + 2 or x = - 2 ( two answers ) because we don't know exactly x is a positive or a negative number. We have to choose both + 2 and -2 .
@@pnwtutoring No. The square root of 5 can be either positive or negative. Either way, it an irrational number, but using approximate values, (-2.236) x (-2.236) = +4.999696.
@@arjanhulsebos No. Square root is a function that you apply to a number and it has 2 values, one positive and one negative. According to Wikipedia "Every positive number x has two square roots".
@@chrisengland5523your problem isen't really a mathematical problem: Mathematician just defined that sqrt(5) ist just the positiv solution of 5=x^2. So formally the solution of 5=x^2 ist sqrt(5) and -sqrt(5), not just sqrt(5). If wiki says different then it is wrong. Btw. the reason why it is defined like that to keep sqrt(x) beeing a function (mathematic function, not same like an function you know from programming), which makes it easier to handle. So after the formal definition of sqrt there arent more solutions. But actually there is a related Problem happening while solving that equation: squaring the equation leads to possible inproper results, which makes the verification at the end necessary.
