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Mathematics 20 Online
OpenStudy (anonymous):

Write the product in standard form.

OpenStudy (anonymous):

( 9 + 5i)( 9 + 8i)

OpenStudy (anonymous):

41+117i

OpenStudy (anonymous):

Steps?

OpenStudy (anonymous):

18 =13I

OpenStudy (anonymous):

the foiling method, do you know what that is?

OpenStudy (anonymous):

what do you do after (9*9)+(9*5i)+(9*8i)+(8i*5i)

OpenStudy (anonymous):

(a+b)(c+d)=ab+bc+ad+bd

OpenStudy (anonymous):

oh i just did it on the calculator, thats all you do there really is no steps

OpenStudy (anonymous):

multiply them

OpenStudy (anonymous):

do you know the meaning of i ?

OpenStudy (anonymous):

look im write ok

OpenStudy (anonymous):

81+157i i got this and i know its wrong can you khow steps so i can compare?

OpenStudy (anonymous):

81+45i+72i-40

OpenStudy (anonymous):

i gave you the right answer

OpenStudy (anonymous):

isnt it 40i

OpenStudy (anonymous):

i^2=-1

OpenStudy (anonymous):

can i get my metal now ;)

OpenStudy (anonymous):

i know you gave me the right answer but i need to know what i did wrong because i didnt get that

hartnn (hartnn):

i is the square root of -1 so i*i = -1

OpenStudy (phi):

(9*9)+(9*5i)+(9*8i)+(8i*5i) 81 +45i +72i+40i^2 i^2 is -1 so 81-40 + (45+72)i simplify 41+112i

OpenStudy (anonymous):

why 40^2?

OpenStudy (anonymous):

its 117i, phi you got it wrong

OpenStudy (anonymous):

@ilikephysics2 is correct

hartnn (hartnn):

thats why 8i * 5*i = 40 i*i =40 *(-1)= -40

OpenStudy (phi):

typo, 117i

OpenStudy (anonymous):

i got it thanks guys just one questions why you do 40 ^2

OpenStudy (phi):

it is 40 times i*i i^2 which is -1

OpenStudy (phi):

so do FOIL, but with the trick that i*i can be replaced with -1

OpenStudy (anonymous):

oh thank you @phi so when ever its i*i you have to change it to a negative?

OpenStudy (phi):

yes. i is short for sqrt(-1) sqrt(-1)*sqrt(-1)= -1 so keep i's but replace i*i (or i^2) with -1

OpenStudy (anonymous):

okay i get it thanks to all

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