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#1 Re: Help Me ! » Factorising harder quadratics » 2025-06-20 23:50:22

Bob wrote:

B^2 - 4AC = 121 + 240 = 361. This has root 19 so if I used the quadratic formula a simple 'solution' is available.  That check saves wasting time looking for a factorisation if there isn't one.

Bob

True to Bob. The quadratic formula is better than any other methods as it works for all.

#2 Re: Help Me ! » Factorising harder quadratics » 2025-06-20 23:48:02

Hi guys!

In Nepal, we are mainly taught 3 ways of solving quadratic equations: product sum method, completing square method and the formula method. You can read the whole chapter here: https://lms.neemaacademy.com/course/2095/School-Mathematics-Grade-10/component/ynPP0L

In the product sum method, which only works for integers, we do the steps:

For any equation like:

, we do:
- Multiply a with c to make ac
- Check whether it's sum or difference, if c > 0, it's sum else it's difference
- Find two numbers whose sum or difference is b and product is ac
- Once you have the numbers, keep them instead of b in the equation.

For example:

Here, ac = 6*(-10) = -60; use difference
The numbers whose product is 60 and difference is 11 are: 15 and 4.


Hence (2x+5) and (3x-2) are the solutions.

#5 Re: Help Me ! » cube root of x^6 » 2025-05-27 03:08:02

Hi,

In (xi), a = b because the powers are same and when you remove the powers; example by rooting both sides, you'll get the equation a=b. a^2 and b^2 are only equal if a and b are positive integers. Eg:  2^2 = x^2; then x = 2 or -2. 3^2 = y^2; y = 3 or -3............ You can check this yourselves.

#6 Re: Help Me ! » cube root of x^6 » 2025-05-25 11:11:41

Yes. Here's more from my Math's Book: math.png

#8 Jokes » Mars Jokes » 2025-05-22 11:29:08

ktesla39
Replies: 0

1. Why don’t Martians throw big parties?
Because they planet too far in advance!

2. What did Mars say to Saturn?
“Give me a ring sometime!”

3. Why did the rover break up with Mars?
Because it needed space.

4. What do Martians use to keep their pants up?
Asteroid belts.

5. Why did Mars get a job at the bakery?
It was great at making craters!

6. What’s a Martian’s favorite type of music?
Heavy meteor!

7. How do Martians throw a great party?
They make sure it’s out of this world!

8. Why don’t Martians use social media?
Because they’re afraid of Earth-ing their secrets!

#14 Re: Exercises » Compute the solution: » 2025-05-02 23:42:56

Hi,

It's tough to solve this one but I'm trying:

#17 Re: Exercises » Compute the solution: » 2025-04-28 13:09:58

Hi,
I got confused. So I have two answers:

 
Or

#20 Re: Help Me ! » Sum of infinite series..... » 2025-04-26 22:24:41

Hi Bob,
I was at school. Just came back. I turned on my laptop and I got that.

#21 Re: Exercises » Compute the solution: » 2025-04-25 13:19:03

Hi,

It's easier for me to calculate large numbers if I relate them with small ones. Thanks! smile

#23 Re: Help Me ! » Sum of infinite series..... » 2025-04-24 00:49:57

Thanks Bob, thanks a lot!

By using the formula you provided and the formula I previously made, I dedrived a new formula for sum of  quadratic series:

.

The formula is:

This might not be a lot useful, but I'm happy that I could do that. I checked it and it was working properly. Thanks Bob, thanks again! smile

Btw MIF is not responding to my emails. Will you try to contact him?

#25 Re: Help Me ! » Sum of infinite series..... » 2025-04-23 13:39:27

Yes I wanted the finite formula. Like if we want to calculate S5, we will have to add 1+4+9+16+25 but we cant use this if we want to calculate large sum like S100. I need the formula because I am trying to make a formula to find the sum of quadratic equations like an^2 + bn + c .

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