# Quadratic Equation : Proof by Completing the Square

Not what you're looking for?

1. Prove the Quadratic Formula by completing the square on ax^2+bx+c=0

2. A picture that is 14 in by 20 in is to have an even border. If the area of the picture and the border is 352 in^2, how wide will the border be?

##### Purchase this Solution

##### Solution Summary

The quadratic formula is proven by completing the square. A border of a picture is calculated using a quadratic equation.

##### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

ax2 + bx + c = 0

ax2 + bx = -c

b c

x2 + --- x = - ---

a a

b b2

---- ----

2a 4a2

b b2 c b2

x2 + --- x + ----- = - --- + ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Probability Quiz

Some questions on probability

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts