Thursday, July 30, 2009

What is the general form and the standard form of the quadratic equation?

a) ax^2 + bx + c = 0


b) ax^2 +bx =c


the general form of the linear equation is ax + by + c = 0 while its standard form is ax + by = 0. if i applied the definitions of the general form to the quadratic equation, the general form of the quadratic equation will be ax^2 + bx + c = 0 which is opposite to the information given by the book that i use. it says there that the general form of the quadratic equation is ax^2 + bx = c

What is the general form and the standard form of the quadratic equation?
Look at a). ax^2 + bx + c = 0 ... when you are solving something that's not in quadratic form (ex: equations fro circles, hyperbolas, ellipses, etc.) or even if you're solving by completeing the square root, you'd have to bring the c over to the other side, thus giving you ax^2 + bx = c





However, linear equation don't work the same way ^_^


I always thought linear equation looked like this:


y = mx + b


but idk, maybe you'retalking about something I don't know





***Hope I helped, Good Luck***
Reply:In my personal knowledge w/o any calculators I think that it is letter A .....





*****Hope I'd solve your problem!*****
Reply:you mean ax+by=c not zero





the gen form is a)
Reply:The general form of the quadratic equation is ax² + bx + c = 0. You must accept it and stick to it. The quadratic formula is derived from that form.





If you have a book that says it's ax² + bx = c, then you have to stick to its convention also! That book will have the same form of quadratic formula but will have the "sign" before c different from the standard quadratic formula we've known.





The quadratic formula says that if ax² + bx + c = 0 then





x = [-b ± √(b² - 4ac)] / (2a).





If it’s ax² + bx = c then





x = [-b ± √(b² + 4ac)] / (2a).





Got the difference? Hope this helps!
Reply:ax^2 + bx+c=0 is the standard form. standard and general are the same thing.
Reply:ax^2 + bx + c = 0 is the standard general form of quadratic equation.......dont confuse with all other things...
Reply:I'm going to say that your book is probably correct, however this is not very important. In any application the form is not going to be important. When solving for the roots (where y=0), it needs to be in the form ax^2 + bx + c = 0 to use the quadratic formula, so this is the form I always use when working with quadratics. The 0 in the equation is substituted for y when searching for the roots.

gifts

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