Question

Complete the square on the general equation of a quadratic function ax^2 + bx + c = 0, if you are successful the solution is the quadratic formula. Show your work.

Answer 1

Transpose c to right hand side ,then divide by a
now complete the square by adding (co-efficient of x/2)^2 to both sides

Answer 2

this takes quite a bit of work

Answer 3

first subtract \(c\) get \[ax^2+bx=-c\]
then divide by \(a\)
what do you get?

Answer 4

−ca+x2+bxa

Answer 5

??

Answer 6

http://www.purplemath.com/modules/sqrquad2.htm This explains it @Starbucks_girl2 but it's not really important to understand the proof. This gave birth to the quadratic formula which you use when you can't normally factor a polynomial.

Answer 7

thank you all

Answer 8

You're Welcome