Solving equations by completing the square method, Mathematics

Assignment Help:

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

Related Discussions:- Solving equations by completing the square method

Factoring out a common monomial factor, Factoring Out a Common Monomial Fac...

Factoring Out a Common Monomial Factor? Say you have a polynomial, like 3x 4 y - 9x 3 y + 12x 2 y2 z and you want to factor it. Your first step is always to look for t

Show that cos - cos /sin - sin = a/b, A ladder sets against a wall at an ...

A ladder sets against a wall at an angle α to the horizontal. If the foot is pulled away from the wall through a distance of 'a', so that is slides a distance 'b' down the wall ma

Normal Distribution, You don''t have to give me the answer. I just want to ...

You don''t have to give me the answer. I just want to know HOW to do it. In a set of 400 ACT scores where the mean is 22 and the standard deviation is 4.5, how many scores are ex

Combined mean and standard deviation, Combined Mean And Standard Deviation ...

Combined Mean And Standard Deviation Occasionally we may need to combine 2 or more samples say A and B. Therefore it is essential to identify the new mean and the new standard

Hours, jeff left hartford at 2:15 pm and arrived in boston at 4:45 pm how l...

jeff left hartford at 2:15 pm and arrived in boston at 4:45 pm how long did the drive take him?

Function notation, Function notation: Next we have to take a rapid look at...

Function notation: Next we have to take a rapid look at function notation. Function notation is nothing more than way of writing the y in a function which will let to simplify not

Solving problem with linear function, An electric utility company determine...

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 5.72 cents per kilowatt-hour to its base charge of $16.35 per month

Multiplication, whats 2x2

whats 2x2

Example on eulers method, For the initial value problem y' + 2y = 2 - e ...

For the initial value problem y' + 2y = 2 - e -4t , y(0) = 1 By using Euler's Method along with a step size of h = 0.1 to get approximate values of the solution at t = 0.1, 0

Determine the angle of depression to a ship, From the top of a 200 m lighth...

From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23 . How far is the ship form the base of the lighthouse?

Jack 2/12/2013 2:31:28 AM 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

Jack

2/12/2013 2:31:28 AM

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

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages