x^2=-8

******

***********

Rearrange

the

equation

**

***********

what

is to the ***** of the ***** **** **** **** ***** ** *** ********** *********** Step ** **** solution: Step

***

**

****

roots

********

***

F(x)

* ***** ********** Roots

**********

**

*

set **

*******

*****

**

finding values of * *** ***** **** =0

********

***** Test ** one of *** ***** ********* ***** It ***** **** **** ******** Roots **** ** *******

*

*****

***

** ********* ** *** ******** ** *** ********* *** ******** **** ******* ****** **** ** * ********** ****** *** a rational number P/Q then * ** a factor of the

********

Constant

***

Q ** * factor ** *** Leading ************ ** **** **** the ******* *********** ** * *** the ******** ******** ** ** *** ********* are: ** *** ******* Coefficient: ** ** *** ********

Constant:

*

*

* *** ** *** us test P * P/Q * ***** ******* ** *

****

****

-2

1 -200 *****

**

*

-400

2400 -8 1 **** *****

*

* 100 900 2 * 200 ***** 4 *

400

*****

8

* *** *****

**********

*****

**********

***** ** ******** roots ******** ** *** *** ** step

***

** * 8 *

****

*** Solving a ******

Variable

Equation: ** ****** x2+8

=

******** 8 **** both

*****

** the equation: X2

*

*** When *** ******

***

***** ***** square *****

***

*****

Taking

***

******

**** ** *** *** ***** ** ***

********

we

*****

* * ******** ******* -8 In Math

*

is

******

*** ********* **** ** *********

i2

***

****

* ***

**

are

***

****** ***** ** *** ***********

√

**

**

******* ******** * ** *******

**

•√

8

= i • ******* ** *** √ 8

be

simplified? **** ***

*****

factorization

**

* *** **************** ** be **** ** remove something from under *** radical ***** **** ** ** * instances ** ** ******** **

***

****** * ****** ** second

root)

*******

*

* ******* *************** ** ******** * ****** ******* ** *** ******** *** ** **** solutions ** *** 2 imaginary or ******* **********

**

00000

*

28284 ** ** 00000

*

***** ** ********** *********

*******

logx^2=

*** 2logx=

-8

** ***************

*****

*** **

e

-4 ***

*

*****

*******

*

*** ** -8 ***

*******

log *****

antilog

of ***

*******

** *****

***

** **** **** * * sqrt(-1) rewrite the

********

** ** *** * -1

*

** The solution ** ***

*

a is * =± ******* ** by ******** **** ** *** given equation *** get ** * =± ******* * 8)

*********

******** * sqrt( *** *********

**

******** =± ********** Please ***

if

*** **** ***

doubts

**** ******

**

****** ** ****** as * ********** ** *********

11

*************** ******

*

* ********** ** *** ******* *************** ** ******** into(A+B)•(A-B) ************************ *************

******

***

B2=

*** *** ****

*** *

****

the commutative ******** ** *************** Note :-AB+ ******** zero

***

** ********* ********** **** the *********** ****** * ** *** *

******

!! Ruling :Binomial *** *** ** ********

as

*** difference ** *** ******* ******** ******** ** the end of ******* **

*

8 * ******* Solving * ******

********

Equation: 21Solve:x2-8 * **** **

****

sides

**

*** ********** *** ** ****

two

things *** *****

their

****** ***** are ***** ****** *** ******

**** **

***

two sides ** the ******** we ***** x ********* ********* Can√8be simplified ** Yes!The ***** ************* ****** **************** ** be **** to ******

something **** *****

the

******* ***** have

to

************ of it ********

**

*** ****** ********************* √8=√2•2•2= ±2•√2 The ******** ****** real solutions ***** ********* **** * * ****** ******** ********* ******** 28284 Two

solutions

were

*****

**

* = * • ±

********* ******** *****

******** *** ******

*

* ******** ******* ** SinceIn Mathiis

******

*** ********* unit (Complex ******** It ********* i2=-1 Both * *** ** are the ****** ***** of -1 ********* simplifying it

****

****** =√ ** =√ ********** ***********************

*

*************** ** **

*******

simplify ********

8

******** **** **********

************* 2

***

equation *** **

****

solutions **

***

2 *********

or ******* **********

****

************* * ***** ************* ********** * x=- ***** *