Most students get stuck on this math question!

Have you seen this type of question before? Welcome back to my channel. So, how do we find x to the power of 5? Let's do it together, alright? First of all, cross multiply. So now we have x to the power of 2 multiplied by x to the power of 2, right? Is equal to 36 multiplied by 36. But remember that a multiplied by a is a squared. Okay, so it simply means that x squared multiplied by x squared is also equal to x squared all squared is equal to, now 36, now I'm simplifying, so 36 is 6 squared and 36 is 6 squared. We can actually write x squared raised to the power of 2 is equal to 6 squared raised to the power of 2 as well. Now let's transfer this to the other side of the equation. If we do that we have x squared raised to the power of 2 minus 6 squared raised to the power of 2 is equal to zero. have you subscribed to my channel if this is the first time hit that subscribe button now yes because if you don't you will not see this face again you will not see this lovely channel again so to avoid that because i would like to see you in my next video please subscribe all right it's free just hit the subscribe button and turn on your notification bell so that once i upload a new video you'll be the first to be notified Comment. I love your comments. Tell me what I'm not doing well. Tell me the one I'm doing right. The good, the bad, the ugly. This is the fastest way to get the answer. It will be welcomed, okay, in the comments. Thank you so much. So, going further, we have an algebra identity that says that a squared minus b squared is equal to a minus b multiplied by a plus b. So, in this case, our a is x squared and our b is 6 squared. So, let's expand it in this form. We are going to have x squared minus 6 squared into x squared plus 6 squared is equal to zero, right? Now, this is still in difference of two squares. It's still in difference of two squares. So, we can now solve this or expand this in this form again. So, we now have x minus 6 into x plus 6 into, then we have this, x squared plus 6 squared is equal to 0. Okay, what this entails is that x minus 6 is 0, x plus 6 is 0. And x squared plus 6 squared is also 0, right? Now, for this, if we transfer this to this side, we have x equals 0 plus 6 and x equals 6. This is the first value of our x. Now, for this, we have x equals 0 plus 6 we cross to give us minus 6. So we have x equals negative 6 and this is the second value of our x. Now for this, if x to the power of 2 plus 6 to the power of 2 equals 0. Now let's transfer this to the other side. We will have x squared is equal to 0 minus 6 squared. So we have x squared is equal to minus 6 squared. Have you subscribed to this channel? I'm just reminding you in case you have forgotten. And if you're an old subscriber, thank you for your support and thanks for the love. Okay, so let's take square root of both sides. Take square root of both sides. So we have square root of x squared is equal to square root of negative 6 squared. So this and this we go, we have x equals plus or minus. Square root of 6 squared multiplied by negative 1, right, because of the negative sign. So, we can write x is equal to plus or minus square root of 6 squared multiplied by square root of negative 1. So, x equals plus or minus, this we take square and square root, we cancel out, and we are left with 6, and square root of negative 1 is i. So this gives us the third and the fourth value of our x. Thank you so much for your patience. Thanks for watching to the end. Do like, comment and share so that students that need this for their exam will actually find it very interesting and okay for the exam. Thank you so much for watching and I hope to see you in my next video.