1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ivahew [28]
3 years ago
11

Descried how to derive the quadratic formula from a quadratic equation in standard form

Mathematics
1 answer:
Aleks [24]3 years ago
8 0

Answer:

The standard form of a quadratic equation is:

ax^2+bx+c=0, a\neq 0

Quadratic Formula Derivation:

ax^2+bx+c=0\\

$x^2+\frac{b}{a}x+\frac{c}{a} =0 $

$x^2+\frac{b}{a}x = -\frac{c}{a}$

Completing the Square:

$x^2+\frac{b}{a}x +\frac{b^2}{4a^2} = \frac{b^2}{4a^2}-\frac{c}{a}$

$  ( x+\frac{b}{2a} )^2 =  \frac{b^2-4ac}{4a^2}  $

Square Root property:

$x+\frac{b}{2a}  = \pm \sqrt{ \frac{b^2-4ac}{4a^2}}   $

$x  = -\frac{b}{2a} \pm  { \frac{\sqrt {b^2-4ac}}{2a}}   $

$x  =  \frac{-b\pm\sqrt{b^2-4ac}} {2a}  }   $

You might be interested in
Subtract. Your answer should be a polynomial in standard form. (6y^2-9y+4) -(-7y^2+5y+1)=(6y 2 −9y+4)−(−7y 2 +5y+1)=left parenth
kifflom [539]
Solution:
(6y^2-9y+4)-(-7y^2+5y+1)
Distribute to get rid of ( )
6y^2-9y+4+7y^2-5y-1
Combine like terms
13y^2-14y+3
7 0
3 years ago
Peaches are being sold for 2$ per pound. If x represents the number of pounds of peaches bought and y represents the total cost
ladessa [460]
3x-x+2=4, That should be your answer if that is what your looking for
6 0
3 years ago
One pipe fills a barrel in 1 hour while another pipe can fill the same barrel in 2 hours. How many minutes will it take to fill
givi [52]

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Let pi be pipe 1 and pi2 be pipe 2

pi = 1 / 1

pi2 = 1 / 2

together = 1/1 + 1/2 ;

3/2 time ; 2/3 hour.

It will take 2/3 hour or 40 minutes to fill the tank if both pipes are used.

Problem-solving is the act of defining a problem; figuring out the motive of the problem; identifying, prioritizing, and deciding on alternatives for a solution; and implementing an answer.

Learn more about Problem-solving here: brainly.com/question/13818690

#SPJ4

7 0
2 years ago
Gordan and Harry had 340 marble,altogether.After Gordan gave away 2/5 of his marbles and harry gave away 20 of his marbles, they
BARSIC [14]
109.8
you take 240 and subtract that from 2/5.Then you subtract 20 and that gives you 219.6.Since they have the same amount of marbles left,you have to divide 219.6 by 2 and your answer is 109.8
(I just used a calculator)
6 0
3 years ago
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on th
balu736 [363]

Answer:

72.7 is the weighted average score

Step-by-step explanation:

The weighted average score

= score of lab * % share of total grade + score of first major test  * % share of total grade + score of second major test  * % share of total grade + Score of the final exam  * % share of total grade

Substituting the given values, we get -

0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85

= 72.7

3 0
3 years ago
Other questions:
  • a rectangle swimming pool is 9 meters wide with a surface area of 3 square meters. what is the length of the pool?
    5·1 answer
  • A pronghorn antelope can run at speeds of about 59 miles per hour. What is that speed in feet per second, to the nearest whole n
    10·2 answers
  • 4200 fans increased by 0.5%
    10·1 answer
  • Baby Ethan wants to arrange 4 blocks in a row. How many different arrangements can <br> he make?
    7·1 answer
  • Special precision bolts are made by another machine. Write this inequality as a compound
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=3%20-%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20%3C%203%20" id="TexFormula1" title="3 - \frac{x}{2} &l
    13·1 answer
  • 18 first-graders and 72 other students attended a school assembly. What percentage of the students at the assembly were first-gr
    9·2 answers
  • A pine tree that is 150 feet tall is added to the sample. How will this outlier
    14·2 answers
  • The slope of the line that passes through points -2,3 and 10,3 is
    8·2 answers
  • What did measure ST equal? please show your work so i can learn how to do this by myself &lt;3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!