There's a much easier way to do this. Since the constants A&B have to be true for all values of x. And since the denominators are the same on both sides, just look at the numerators and set them as an equation. X - 5= a(x -1) + b(2x-3) First set x = 1, turning x -1 into 0, so the equation becomes 1-5=b(2*1-3) Simplifying b equals 4. You can do the same thing, by picking x equals 3/2, cancelling out the b part of the equation, and solving for a
I solved by taking out the 1/2 from 1/2x-3 and solved -7/2*ln|x-3/2| out but seems that it is different with the result of -7/2*ln|2x-3| when substituting numbers into them, am I wrong?
Maths is beautiful when we have teachers like you👍👍
this ain't math bro, It's just formula/trick beautifully explained
There's a much easier way to do this. Since the constants A&B have to be true for all values of x. And since the denominators are the same on both sides, just look at the numerators and set them as an equation.
X - 5= a(x -1) + b(2x-3)
First set x = 1, turning x -1 into 0, so the equation becomes
1-5=b(2*1-3)
Simplifying b equals 4. You can do the same thing, by picking x equals 3/2, cancelling out the b part of the equation, and solving for a
Nice. So simple. Only really works for 2 fractions though. If there were 3 unknowns you'd need to revert to this longer form.
This method which u r telling has lesser efficiency...btw its the same thing
Thanks a lot dude... I didn't notice it at first but it was sooo obvious once you know it!! thank you
I solved it the same way !! Great ! Now i can move forward to the next topic
Helpful , Thank you
Good explanation, thank you.
thankyou bro, I understand partial fraction now !!
great video!
جميل جدا شكرا لك..
I loved it, helped me a lot. Take love from your own Bangladesh.
Thank you sir
This is what I need thanks
Great
NICEEE
NICEEE
What about quadratic factors
good video
I solved by taking out the 1/2 from 1/2x-3 and solved -7/2*ln|x-3/2| out but seems that it is different with the result of -7/2*ln|2x-3| when substituting numbers into them, am I wrong?
Isn’t 7/2 and 2/u both 2 cancelled?
😑 bro 2/u= ln |...| How will it cancel it is used