If you have a quadratic iequation in the form ax^2 + bx + c = 0, I know how to complete the square to get the well-known formula which I won'r type out.
I have just read this and I don't understand how to complete the square in this different context:
for f(x) = ax^2 + bx + c we can complete the square on the right hand side and simplify to get....
I don't know how to complete teh square in this case. This is the only way i know how to do it:
ax^2 + bx + c = 0 --> take c to other side of equation
ax^2 + bx = -c ---> remove the coefficient of x^2
I won't go though all the steps but you get the picture. How do i complete the square in this case:
f(x) = ax^2 + bx + c
Perhaps if you show me the first few steps it will be obvious and I can complete the rest of it.
....... perhaps to qualify further the completion of the square of a quadratic does not require it equal 0 or f(x) or anything. You just complete the square, many of the links on this page show this process.
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andiejeAuthor Commented:
Can i do this then as the first step:
f(x)= ax² + bx
f(x) - c = ax^2 + bx
I'm not that comfortable with function notation. Not used it for years. I guess its valid to write f(x) - c?
How do you get the sqaured notation glynweb? f(x)= ax² + bx
I ahve to type ^2
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andiejeAuthor Commented:
sorry, of course its the same. It looked completely different on first glance but if you work it through its the same. I also thought it had to equal 0 for you to do this.
thanks
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