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

.gradient, Draw the graph of y=x^2-4x from x=-1 to x=5.use the scale of 2cm...

Draw the graph of y=x^2-4x from x=-1 to x=5.use the scale of 2cm on the x axis and 1cm on the y axis.Estimate the gradient at point:x=4, x=2 and x=0

Calculate, monomet

monomet

Skills test a measuring and calculating, need help answers to this test

need help answers to this test

What percent of her money did she spend on lunch, Wendy brought $16 to the ...

Wendy brought $16 to the mall. She spent $6 on lunch. What percent of her money did she spend on lunch? Divide $6 by $16 to ?nd out the percent; $6 ÷ $16 = 0.375; 0.375 is equi

Co-prime positive integers, A group of 5 people are going to meet weekly at...

A group of 5 people are going to meet weekly at the library for 4 weeks. Every week, two people are selected at random to speak. Every person may speak in multiple weeks, but no pa

Algebra, how do you solve quadratic equations by factoring?

how do you solve quadratic equations by factoring?

Prove that xa+ar=xb+br of circle, In figure, XP and XQ are tangents from X ...

In figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BR Ans: Since the length of tangents from externa

#title.fractions, how to get the answer

how to get the answer

The mean value theorem for integrals of even and odd , The Mean Value Theor...

The Mean Value Theorem for Integrals If f (x ) is a continuous function on [a,b] then there is a number c in [a,b] such as, ∫ b a f ( x

Systems of differential equations, For this point we've only looked as solv...

For this point we've only looked as solving particular differential equations. Though, many "real life" situations are governed through a system of differential equations. See the

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