SOLUTION: Please help. I do not understand how to do this. 1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks: a) Solve by factoring. Answer: Show work i

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Please help. I do not understand how to do this. 1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks: a) Solve by factoring. Answer: Show work i      Log On


   

Question 35605: Please help. I do not understand how to do this.

1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks:
a) Solve by factoring.
Answer:
Show work in this space.


b) Solve by completing the square.
Show work in this space.


c) Solve by using the quadratic formula.
Show work in this space.
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2- 3x + 2 = 0
1)Solve by factoring.
First fiqure out the factors of 2; 2,1
now added together they give us 3, so we have;
(x-2)(x-1)
2)Solve by completing the square.
We start by moving 2 to the right side;
x%5E2-3x=-2
The coefficient of x=-3; we divide -3 by 2 and square the result;
(-3%2F2)^2=9%2F4
Add 9%2F4 to both sides;
x%5E2-3x+9%2F4=-2+9%2F4
simplified;
%28x-3%2F2%29%5E2=1%2F4
square root both sides;
x-3%2F2=(+/-)sqrt%281%2F4%29%29
(sqrt%281%2F4%29 = 1/2)
Add 3%2F2 to both sides;
x=3%2F2(+/-)1%2F2
x=3%2F2+1%2F2 or x=3%2F2-1%2F2
x=2 or x=1
3)Solve by using the quadratic formula.
quadratic formula;
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1; b=-3; c=2
x=%28-%28-3%29%2B-+sqrt%28%28-3%29%5E2-4%281%29%282%29%29%29%2F2%281%29
x=%283%2B-sqrt%289-8%29%29%2F2
x=%283%2B-sqrt%281%29%29%2F2
x=%283%2B-1%29%2F2
x=%283%2B1%29%2F2 or x=%283-1%29%2F2
x=2 or x=1
Hope you understand everything
=)