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Topic, Math Whiz Quiz Game | ||||||
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You must register or log in to post a message.what is the square root of 4? You didn't say are the square roots. 2p AK: Hehe. My profile says Norway. But that means I don't have awful grammar or spelling, which I'm very happy with :) I wanted to live in the USA though. I think the US society fits me better. Atleast how the US society is presented to norwegians. Here in Norway it's almost like if you're good at something, people hate you for it. That doesn't suit me very well. The two sentences above might've been concidered so braggy people'd stop talking to me if I'd say it. MartinfraKongsberg Ferrari, I thought you were from the Us.... US: Decimal=. Places=, Division=/ Multiplication=* or X AK: Why do you use Martinfra in the score list? His name is Martin. His account name means "Martin from Kongsberg". We have learned that we us , for deimals. This is for multyplications . And if we have a large number we just use spaces. 100 000 000 My question is: It was known that the equation (3x-4.5)/(2.25-x^2) is 0/0 if x = 1.5. What is the value of 0/0? The answer is -1. Why? Click the spoiler for an explanation! I'll update tommorow. My question is: It was known that the equation (3x-4.5)/(2.25-x^2) is 0/0 if x = 1.5. What is the value of 0/0? (10p) It was supposed to be X^2+4X+4.... So 6 points for GL101 and 4 for Joe45, he got the question wrong but got the real question right. None until tomorrow. | GeneralFirst post of the topicHere we go! First question(1p) 6-2=? SCOREBOARD: SimonM:50 MARC2008/Hexicube:41 THe NiNJa:37 Im:33 Martinfra:31 Ferrari12:30 Joe45:27 Allyally:17 Sillius:8 Flame22:7 SuperDog:7 Gamelover101:6 Dingdong:5 Gameinsky:5 Garygoh884:3 Gundu:3 Lololol:2 MatthijsM:2 Rocky:2 Demonicyoshi:1 PineappleDude:1 Zodiac:1 SMART(50-149) SimonM SUPERSMART(150-299) GENIUS(300+) Oh yes, and because I can't post it anywhere else: DELTALEAGUE AMMO DEPOSITRY Leader: AK Guns: Vehicles: |
The square root of a negative number will always be a a complex number, consisting of two parts, a real (Here it's 2) and an imaginary part (Represented by the i). A square root of a negative number will always be a number on the imaginary scale (Correct term?).
An easy way to calculate the square root of a negative number is to pretend the number is positive, then calculate the square root in a normal way ( 0,5(x0+x/x0) or a calculator). When you've got the square root of the positive number, you simply add the i behind and then you've got yourself the square root of a negative number.
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Explanation of formula and calculation.
WARNING If your head easily explodes you better not click the spoiler
I'll give you an example but first I'll explain the formula. The formula is quite simple in fact. The formula is "0,5(x0+x divided by x0) = x1"
0,5 is strait forward, a half. An easy way to get the same answer as when multiply by 0,5 is to divide by 2.
Then inside the parenthese there's the x0. x0 representes any guessed square root with a value between the square roots of the two numbers closest to the number we'll find the square root of that has two integers as its square roots. That might sound complicated, but it isn't.
If we are to find the square root of 95 for example we know that the square root of 81 is 9 and the square root of 100 is 10. Therefor the square root of 95 must be a decimal number between 9 and 10. x0 will then represent any number between 9 and 10.
Then there's the x. x is simply the number we're finding the square root of. If we are to find the square root of 95 the x=95.
At last there's the x1. x1 represents the value of x's square root, accurate to two decimals.
Now we'll calculate the square root of -135. As I said we have to pretend -135 is a positive number, so we can use it in our formula
First we start with our formula: 0,5(x0+x/x0)=x1. Then we change x and x0. As the number we'll find the square root of is 135, x=135. We also know the two closest numbers to 135 that has integers as their square roots are 144 and 121, with their square roots 12 and 11. Therefor x0=any number between 11 and 12, we'll use 11,7 now.
So now our formula looks like this: 0,5(11,7+135/11,7)=x1.
As we have to multiply and divide before we add and subtract we'll have to calculate 135/11,7.
135/11,7=1350/117
1350/117=11,538
117
----
180
117
----
. 630
. 585
. ----
.. 450
.. 351
.. ----
... 990
... 936
... ----
.... 54
Residual =54
So now we have 0,5(11,7+11,538)=x1
Now we add 11,7 and 11,538 together and then we end up with 23,238.
Then we end up with 0,5(23,238)=x1. Then we remove the parenthese and calculate 23,238 multiplied by 0,5 or divided by 2. But no matter which way you do it you'll always end up with 11,619.
We now know that 11,619=x1. Therefor 11,61 is the square root of 135=11,61
You can repeat the process by replacing the "x"s with numbers behind them with "x"s with numbers behind that has a value of one more than the old. So x0'll be replaced by x1 and x1 by x2. Each time you do this the accuracy of the square root will increase with one decimal.
Now we'er almost done, but we have to remember we were to find the square root of -135. What we have found is the square root of it's positive equal. However if you remember, turning the square root of a positive number into the square root of it's negative equal is quite simple. As we know the square root of 135 is 11,61. So the square root of its negative equal, -135 is 11,61i, as we add an imaginary part to the real part.
Now...Do I get a cookie?