Could someone please help me by telling me what the best way to resolve the following equation into three partial fractions is?
Now, you can ignore the denominators and multiply out the numerator on the right and compare terms with the left to find A, B and C.
The reason recommended now finding f(0), f(1) and f(-0.5) is because f(0) finds A since the parts with B and C will be zero.
You get and so on for B and C.
I'll show you the method I was taught.
I think it's much simpler; don't know why everyone doesn't teach it.
Set up the equation: .Resolve into partial fractions: .
Multiply by the LCD: .
Select some "good" values for
Let . . . . . . . . . . . . .
Let . . . . . . . . . . . .
Let . . .
[Edit: oops! .I see that recommended this method.]
My main problem is that i dont understand how to work out that values that we need to plug in for
I think I have worked it out, has to equal 0 in the divisor? so in our case where we have ..... would equal
Its just clicked, again thank you all and i will be clicking thanks on all your posts.