-
Home
- Elementary algebra
- Quadratic equations
- Solving quadratic equations
The constant must be the square of one half the coefficient of
Since the coefficient of
is 3, we have
The constant is
Got questions? Get instant answers now!
The method of completing the square
Now, with these observations, we can describe the method of completing the square.
The method of completing the square
- Write the equation so that the constant term appears on the right side of equation.
- If the leading coefficient is different from 1, divide each term of the equation by that coefficient.
- Take one half of the coefficient of the linear term, square it, then
add it to
both sides of the equation.
- The trinomial on the left is now a perfect square trinomial and can be factored as
The first term in the parentheses is the square root of the quadratic term. The last term in the parentheses is one-half the coefficient of the linear term.
- Solve this equation by extraction of roots.
Sample set a
Solve the following equations.
Got questions? Get instant answers now!
Got questions? Get instant answers now!
Got questions? Get instant answers now!
Since we know that the square of any number is positive, this equation has no real number solution.
Got questions? Get instant answers now!
Calculator problem. Solve
Round each solution to the nearest tenth.
- We will first compute the value of the square root.
Press the key that places this value into memory.
- For
Rounding to tenths, we get
- For
Rounding to tenths, we get
Thus,
and
to the nearest tenth.
Got questions? Get instant answers now!
Practice set a
Solve each of the following quadratic equations using the method of completing the square.
Exercises
For the following problems, solve the equations by completing the square.
calculator problems
For the following problems, round each solution to the nearest hundredth.
Exercises for review
Questions & Answers
classification of plants, gymnosperm features.
what is the features of gymnosperm
Linsy
how many types of solid did we have
what is an ionic bond
Samuel
what is fallopian tube
Merolyn
what's bulbourethral gland
urine is formed in the nephron of the renal medulla in the kidney. It starts from filtration, then selective reabsorption and finally secretion
State the evolution relation and relevance between endoplasmic reticulum and cytoskeleton as it relates to cell.
Jeremiah
how is urine formed in human
Konadu
how is urine formed in human
Rahma
what is the diference between a cavity and a canal
what is the causative agent of malaria
Diamond
malaria is caused by an insect called mosquito.
Naomi
Malaria is cause by female anopheles mosquito
Isaac
Malaria is caused by plasmodium
Female anopheles mosquitoe is d carrier
Olalekan
a canal is more needed in a root but a cavity is a bad effect
Commander
In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ.
The term pathogen came into use in the 1880s.[1][2
Zainab
Definition of respiration
respiration is the process in which we breath in oxygen and breath out carbon dioxide
Achor
how are lungs work
Commander
where does digestion begins
what are the functions of follicle stimulating harmones?
stimulates the follicle to release the mature ovum into the oviduct
Davonte
what are the functions of Endocrine and pituitary gland
Chinaza
endocrine secrete hormone and regulate body process
Achor
while pituitary gland is an example of endocrine system and it's found in the Brain
Achor
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
Lisah
biology is the study of life.
Alfreda
Biology is the study of how living organisms live and survive in a specific environment
Sifune
Got questions? Join the online conversation and get instant answers!
Source:
OpenStax, Elementary algebra. OpenStax CNX. May 08, 2009 Download for free at http://cnx.org/content/col10614/1.3
Google Play and the Google Play logo are trademarks of Google Inc.