Solving equations by completing the square method, Mathematics

I need help for Solving Equations by Completing the Square Method, can anybody help me out for this?

Posted Date: 2/12/2013 2:30:03 AM | Location : United States





example,

Solve by completing the square.

i. 3x2 = 9x

ii. 2x2 + 3x + 1 = 0      

Solutions

i. 3x2 = 9x     or

(3x2  - 9x = 0)

x2  - 3x = 0       (Step 1)

 x2 - 3x + (-(3/2)2) = -(3/2)2     (Step 2)

 x(-(3/2)2)= 9/4            (Step 3)           

x -3 = + √(9/4) (step 4)

(∴ x = (3/2) + (3/2))

= (3+3)/2 or (3/2) - (3/2) =

(= 3 or 0)

ii) 2x2 + 3x + 1 = 0       or         (2x2 + 3x = -1)

X2 + (3x/2) = -(1/2)  (step 1)

X2 + (3x/2) + (3/4)2 = (3/4)2 - 1/2     (step 2)

(x +(3/4)2) = 1/16 (step 3)

X + (3/4) = +  √(1/16)

X = - (3/4) = + (1/4)

-(3/4) + (1/4) or -(3/4)-(1/4)

X = -(1/2) or x = -1

Posted by Jack | Posted Date: 2/12/2013 2:31:28 AM


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