The Genius Math Shortcut They Don't Teach in School

Added: 2026-06-02

[00:00:00]You think this equation is very simple to solve until you try it yourself.

[00:00:06]In this video, you are going to learn how to solve this equation. Watch this.

[00:00:10]We have the root of Y divided by Y is equal to 4.

[00:00:14]We are asked to find the value of Y.

[00:00:17]This is how to solve this under 10 seconds. Watch this.

[00:00:22]Now, we shall have your solution.

[00:00:27]Now, the equation says the root of Y divided by Y to be equal to what? 4.

[00:00:37]Now, you cross multiply. So, we shall have the root of Y to be equal to 4 * Y is what? Is 4 Y.

[00:00:48]Now, because of the square root, to clear a square root, you you square both side.

[00:00:53]So, if I square both side and also square everything in the right hand side, I shall have this cancel out. Now, this two is affected by 4 and Y, so I can rewrite this as Y to be equal to 4 squared Y squared.

[00:01:20]4 squared is 16, so we shall have Y to be equal to 16 Y squared.

[00:01:29]Permit me to rewrite this as 16 Y squared to be equal to what?

[00:01:36]Y.

[00:01:39]What next?

[00:01:42]Can I divide both side by Y?

[00:01:44]Yes.

[00:01:46]Because even though this is a quadratic equation, the value of X cannot satisfy this equation because the square root of 0 is 0 divided by 0.

[00:01:55]So, we cannot divide by zero.

[00:01:57]Which means Y as zero cannot satisfy this equation.

[00:02:02]So we are not going to solve this in a quadratic form. Rather, we divide both sides by Y. So we shall have 16 Y squared to be equal to Y. So if we divide both sides by Y.

[00:02:18]This will cancel out is one, right?

[00:02:21]From here, now look at we shall have 16 Y squared minus one. Because when you are dividing the same base, we subtract the powers.

[00:02:34]One of these is equal to what? One.

[00:02:37]Two minus one is one.

[00:02:39]And Y to the power of one is Y. So we shall have 16 Y to be equal to one.

[00:02:45]Divide both sides by 16.

[00:02:47]So if I divide here by 16 and also divide here by 16.

[00:02:53]This will cancel out. Y will be equal to one over 16. This happens to be our final answer. Share this video, follow us and subscribe for more math tips like this.

[00:03:05]Thank you.