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
The numbers used to measure quantities such as length, area, volume, body temperature, GNP, growth rate etc. are called real numbers. Another definition of real numbers us

What is the OPEC? - The Organization of the Petroleum Exporting Countries, a coordination group of petrol producers The Organization for Peace and Economic Cooperation, a German le

Using the expample provided below, if m∠ABE = 4x + 5 and m∠CBD = 7x - 10, Determine the measure of ∠ABE. a. 155° b. 73° c. 107° d. 25° d. ∠CBD and ∠ABE are vert


how solve the inverse matrices using the matlab?

which laws of physics are used to discuss heat loss in a pipe


What is Angles? An angle is made up of two rays with a common endpoint, which is called the vertex. The sides of the angle are rays. An angle is denoted by "θ". When two li

Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720) Ans: LCM of 24, 15, 36 LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360 Now, the greatest six digit

Which expression has an answer of 18? Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. T