SOLUTION: Having trouble understanding these equations! 1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks: a) Solve by factoring. Answer: Show work in this

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Having trouble understanding these equations! 1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks: a) Solve by factoring. Answer: Show work in this      Log On


   

Question 35795: Having trouble understanding these equations!
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!
x2 - 3x + 2 = 0
a)Solve by factoring.
list factors of 2; 2 and 1, when added together they 2+1=3
(x-2)(x+1)=0
x-2=0 x-1=0
x=2 or x=1
b)Solve by completing the square.
Show work in this space.
subtract 2 from both sides;
x%5E2-3x=0-2
half of 3=1.5; 1.5%5E2=2.25
add 2.25 to both sides;
x%5E2-3x%2B2.25=-2%2B2.25
factor;
(x-1.5)(x-1.5)=.25
%28x-1.5%29%5E2=.25
take square root of each side;
sqrt%28x-1.5%29%5E2=sqrt%28.25%29
x-1.5=.5
x=+/-.5+1.5
x=1; x=2
c)Solve by using the quadratic formula.
Show work in this space.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=-3, c=2
%28-%28-3%29%2B-+sqrt%28-3%5E2-4%2A1%2A2%29%29%2F%282%2A1%29
%283%2B-sqrt%289-8%29%29%2F2
3%2B-sqrt1%29%2F2
3%2B1%2F2
3-1%2F2
%284%2F2%29=2
%282%2F2%29=1
so;
x=2 or x=1
=)