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


Related Discussions:- Solving equations by completing the square method, Assignment Help, Ask Question on Solving equations by completing the square method, Get Answer, Expert's Help, Solving equations by completing the square method Discussions

Write discussion on Solving equations by completing the square method
Your posts are moderated
Related Questions
what Is the common denominator for 1/2 and 1/4

Application of rate change Brief set of examples concentrating on the rate of change application of derivatives is given in this section.  Example    Find out all the point

Find out the domain of each of the following.  (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y  (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know

Right-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x>a without in fact letting x be a.


approximate value is the precise or the accurate value which is measured  to the actual value.., approximation is how close the measured value is to the actual value , for example


From  an  aero  plane  vertically  above  a  straight  horizontal  road,  the  angles  of depression of two consecutive milestones on opposite sides of the aero plane are observed

how to create an activity of tower of hanoi

express each logariths in terms of log3 P and log3 Q. 1. log3 P^2 Q^3