# Quadratic Equation Calculations

Project # 1

Work only equation: (a) x^ - 2x - 13 = 0 and (c) x^ + 12x - 64 + 0, but complete all 6 steps (a-f) as shown in the example.

Project#2,

Please select at least five numbers: 0(zero), two even numbers and two odd numbers. Make sure you organize into separate projects.

The assignment must include all the math work required to answer the problems.

The steps are:

• Move the constant term to the right side of the equation.

• Multiply each term in the equation by four times the coefficient of the x^ term.

• Square the coefficient of the original x term and add it to both sides of the equation.

• Take the square root of both sides.

• Set the side of the equation equal to the positive square root of the number on the right side and solve for x.

• Set the left side of the equation equal to the negative square root of the number on the right side and solve for x.

Example: Solve x^ + 3x - 10 = 0

X^ + 3x = 10

4x^ + 12x = 40

4x^ + 12x + 9 = 40 + 9

4x^ + 12x + 9= 49

2x + 3 = + 7

2x + 3 = + 7 2x + 3 = - 7

2x = 4 2x = -10

x = 2 x = -5.

https://brainmass.com/math/number-theory/quadratic-equation-calculations-564581

#### Solution Preview

Please see solution attached.

Project # 1

(a) x2-2x-13=0

4x2-8x=52

4x2-8x+4=52+4

4x2-8x+4=56

(2x-2)2=56

2x-2= 2 ...

#### Solution Summary

This solutions solves the quadratic equations by completing the square.