Posted by **carolyn** on Monday, January 3, 2011 at 9:10pm.

Solve the equation x2 + 8x – 2 = 0 using both

a. The quadratic formula

b. Completing the square

Write a paragraph or two comparing and contrasting the two methods. Explain which method you prefer and why.

c) Use the accompanying graph to estimate the time at

which the workers are most efficient.

d) Use the accompanying graph to estimate the

maximum number of components assembled per

hour during an 8-hour shift.

- algebra -
**Reiny**, Monday, January 3, 2011 at 9:26pm
formula:

x = (-8 ± √72)/2

= (-8 ± 6√2)/2 = -4 ± 3√2

completing the square

x^2 + 8x = 2

x^2 + 8x + **16** = 2 + **16**

(x+4)^2 = 18

x+4 = ± √18 = ±3√2

x = -4 ± 3√2

notice that completing the square gives you the reduced answer.

(If the equation starts with 1x^2 and the x term is even, I always use completing the square instead of the formula)

## Answer This Question

## Related Questions

- ALGEBRA - Quadratic equations can be solved by graphing, using the quadratic ...
- Algebra - I was given this answers to a problems I solved but I do not ...
- Algebra - I was given this answers to a problems I solved but I do not ...
- math 117 - Quadratic equations may be solved by graphing, using the quadratic ...
- ALGEBRA--MAT 117 - Quadratic equations can be solved by graphing, using the ...
- Mat/117 DQ2 - Quadratic equations may be solved by graphing, using the ...
- Math - Algebra - A. Solve the following quadratic equations. Make sure to show ...
- math - List advantages and disadvantages comparing and contrasting solving ...
- Algebra II - 1)What method(s) would you choose to solve the equation: x2 + 2x - ...
- Algebra 2 - Completing the square method allows you to solve any quadratic ...

More Related Questions