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
G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at

I need help with my calculus work

9x-5x+2 and y=4x+12

I have a linear programming problem that we are to work out in QM for Windows and I can''t figure out how to lay it out. Are you able to help me if I send you the problem?


Implicit Differentiation : To this instance we've done quite a few derivatives, however they have all been derivatives of function of the form y = f ( x ) .  Unluckily not all

The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if  Z2=2+i ,Z4=1-2i,find Z1 and Z3 Ans) B(2,1) , D(1,-2) Mid Point (3/2,-1/2) Write Equati

i have discovered a formula for finding the radius at any point of the graph have i done a good job

can you help me with entrance exam for university ? i really need help so quick

Trace the curve (x/a)^3/2+(y/b)^2/3=1