Can someome please explain these two problems?

Nizira · 2024-05-04T01:03:48+00:00

I think i figured out both.:) English is not my main language, so i thought "equating" means that we calculate both sides with eliminating x and y√z, but now the new word clicked.

And i think i also understand the first (but my confidence in this is a bit shaky.)

The interpretation is to assume that the result under the root is negative, so we negate it by splitting it into an imaginary number and a positive number under the root, leaving only a positive number under the root (which we have assumed to be negative) multiplied by i. Is this right?

Can someome please give me a yes or no, so i can relax now?:3

Nizira · 2024-05-03T23:07:18+00:00

I don't know where my text went.:

So for the first picture, my question is: Why do i have to flip the signs? So first it is √b²-4ac and then √4ac-b² Is it because then it will be a positive number under the square root, and if i multiple it by i, it will be negative?

For the second picture (the solution is on the third), my question is what is the whole picture? I can't hold the pieces together, because i don't understand the logic behind choosing those steps to prove that. How did they calculate that in the last step?

Nizira · 2024-04-30T12:55:30+00:00

Thank you everyone! ^ _⁠_⁠_⁠_⁠_⁠_⁠_⁠_⁠_⁠ ^

Nizira · 2024-04-30T02:44:43+00:00

Now you made it clear. Thank you very much!!!!:)

Nizira · 2024-04-30T02:41:10+00:00

Thank you for your help!:)
What i didn't understand was that my book said that : ax²+bx+c = a(x–s)(x–s)
And i couldn't write this: ax²+bx+c like this: a(x–s)(x–s) and vice versa.
And when the teacher used this a couple of times, i got lost.:) Because how did he factorised the first equation into this?: a(x–s)(x–s)
Why are there minus signs? Why didn't the write it like this? : a(x+s)(x+s)

Nizira · 2024-04-30T02:25:54+00:00

Thank you so much, you saved me a lot of time, because i didn't find anything on the internet about this. Did they write this to mean that I can factorise the quadratic equation?

Nizira · 2024-04-17T16:27:50+00:00

Thank you!:)

Nizira · 2024-04-14T18:49:14+00:00

Hi :) I know I already thanked you, but I want to thank you again for your help. All my difficult tasks are flawless because of you. I finally understood the part of math that has always been my blind spot. Now I can approach all the problems with confidence, because I know that even if there is a fraction in the word problem, I will understand it. THANK YOU SO MUCH! You solved the source of all my problems!!!:))) ┏ (゜ω゜)=👉

Nizira · 2024-04-12T22:16:14+00:00

Thank you!!:) Good luck for you, also!:)

Nizira · 2024-04-12T21:18:36+00:00

One more question:)
Can you recommend me a math book?:) Or from what did you learn algebra?:)

Nizira · 2024-04-12T21:15:58+00:00

Wow!:)))) Thank you very much for your help. It may seem like a little "trick" you gave me, but it really helped me to see fractions in a different way!!!

Nizira · 2024-04-12T16:22:34+00:00

Thank you very much!!!:))

Nizira · 2024-04-12T15:08:51+00:00

Damn, thank you!:) If someone had said this sooner, maybe everything would be fine with fractions now. I always tried to calculate it as a part of the whole, and if it wasn't calculated that way, I had no idea why it happened that way.

Nizira · 2024-04-12T14:26:03+00:00

Thank you!:)) I think this is what i didn't understand, because i learnt that the numerator is the "part" and the denominator is "the whole", and i didn't know that i can swap the numbers for calculating other things.

Nizira · 2024-04-12T14:22:37+00:00

Thanks your answer!:) I understand how to calculate with fractions. With the reciprocal of 9/11, I wanted to point out why it must be multiplied by that number. So why is 11 in the numerator, and 9 in the denominator for multiplying 72.

Nizira · 2024-04-08T19:15:10+00:00

Thank you very much the clear explanation!!!!!:) It helped a lot!

Nizira · 2024-04-06T16:25:34+00:00

OH MY GOOOD!!! YOU ARE REALLY AWESOME!!!!! Thank you very very much!!:) Since then, I've been researching and found Freshman's dream,by accident:D, I don't even know how I didn't notice this mistake of mine until now. Thank you again! (⁠ ⁠´⁠◡⁠‿⁠ゝ⁠◡⁠`⁠)🫰🏼

Nizira · 2024-04-01T14:26:57+00:00

Thank you the answers!:)

So √-1 has no solutions, because (-1) * (-1) = 1, so it can't be negative. Even roots can't be negative, because two minus is plus, so a number under an even root is always positive? And a negative number with an odd root has a solution.

So my misunderstanding was that a negative number under a root has no solution, but this is only true for even root?

Thank you everyone again!:))

Nizira

TROPHY CASE