A quadratic expression ax² + bx + c can be factorized into the form k(x - α)(x - β), where α and β are the roots of the equation, and the coefficients satisfy the relationships: α + β = -b/a and αβ = c/a. This factorization method allows solving quadratic equations by finding the roots and expressing the polynomial as a product of linear factors.
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Class 10 Maths Chapter 2 in Assamese | Exercise 2.2 Introduction | SEBA New Book | Let's ApproachAdded:
Exercise 2.1.2.
Exercise 2.2.
Exercise 2.2.
exercise.
for a x² + b x + c.
Foreign speech. Foreign speech. Foreign speech.
already.
That means for a x² + b x + c.
Foreign speech. Foreign speech. Foreign speech.
Foreign speech. Foreign speech. Foreign speech.
for XUS alpha XUS beta X - Al XUS beta Alpha plus beta. Alus by mean.
A square.
Windomost.
Yes or no?
A square.
We Yes or no X square X.
That means by Fore x² x alus betain Okay.
Fore XUS beta X + B + C * K * X - Ala K * X - alpha into X Or you can say that dur Stop. Okay.
Same a x² + b x + c into x.
This implies a x² + b x + c = k * x² beta x - ala x plus alpha into beta a x² + b x + c= k * x² Beta plus alpha plus alpha into beta x² plus beta a x² + b x + cip k x²us k * k * beta plus k * alpha into beta.
Yes or no? Yes. Okay.
for Got respected but corresponding compon X B=us of minus of K * Ala plus beta al Yes or no * betus k into beta= value B / B / Kus Balus B Al beta is equal by Alus B.
Alus by I think max C* * betal into beta C.
This implies C / C by A.
X= A + B.
X + B * X into X number X² Foremost into X².2 A x + b x² + c X plus beta plus gamma into beta plus beta into gamma plus gamma into alpha Ala plus into next minus minus plus again minus B Okay. Next.
plus next minus by next exercise 2.2 Main theory main concept.
Definitely 2.2 x + 7.
Definitely.
Okay.
Foreign speech. Foreign speech.
Okay.
+ 7 x + 10.
Yes or no?
1 x square b.
Okay.
1 into 10. 1 into 10.
Foreign speech. Foreign speech.
Foreign speech. Foreign speech. Foreign speech.
Definitely definely.
Main concept.
Definitely definitely One into 10 out 11.
2 + 5.
2 x² + into x + X² + 2 X + 5 X 5 X Okay.
X + X + X + 5 X= -2.
US.
Okay.
X Next.
Next.
Wait, what?
Busous C value 10 B value 7 C value 10 US Busely definitely -ely that means - A - 7.
Extra extra hook.
divided by one.
1 2 ABC 7.
I don't know.
- 2 into - yes or no window.
C by Afinely.
Simple 10.
main solution.
Act number 2.2 Next example. Example.
Next example.
for xus.
A square bul x -<unk> into x + roo<unk> X value minus roo<unk> minus roo<unk> Google for next.
T plus one. Bus mean by 1.
Definitely.
X one. That means for minus root plus a value by So minus 3 by 1us 3us definely cid a x.
Yes sir.
Okay. Okay. Next question. Example five.
Btus 1.
Next question. B.
Okay. Next question. A + C + B= A X² square + b x + c.
One of P into 1 + b into 1 + c. That mean A2.
A x² + x + a x² + x + a x² 1 + x + Ala yes or no A minus by this implies - 1 by 7 alpha value into alpha= a square = 1 again= Simplification.
A square= 1 + 1 by roo<unk> roo<unk> 1 by 4 plus 1 plus - 1 by 2 plus 1 by 2.
A + C + B X² + B US - one of P A into -1² + B into -1 + C of A A plus plus a c= a + c= b a + c= A minus B A plus C Cusal Pusalus US C2 option.
Next question.
Okay.
forchech.
B C man. A B C or C minore.
foreign a x² + b x.
Yes.
A square plus B.
Basically minus information.
for minus forc Fore! Foreign! Foreign!
That means A B C information about me. Amen.
for me.
Same question. Same question.
Fore B2 basically minus Busus B.
indigench.
- 3 by 1us 3 by 1 2% 2 We have a means value.
value.
A 1 into x² + b into x + c 2 1 x² + 3x + x² + 3x + 2 x² + 3x Yes, definitely.
2x² + 6 x + 4.
A condition based question definitely. forchech.
for x² - alpha + beta into x plus alpha into beta for XY X into X window.
Alpha bet.
K * X² + beta into X plus alpha into beta. A condition for Yes or no?
Next question.
- 2 x²us xusify.
x² + 3x + 2 x + 3x + 2 by pxal That mean solution.
P of X P of XQ - 5 X² - 11 X - - 11 X minus a B - C 11 or D minus A B - 5 C - 11 or D minus 3 Yeah A whole t B man whole - 5 C man whole - 11 DUS P of T into TQ - 5 into T² - 11 into tus t into t no - 5 into 9us 11 into tus 81us 40 81 1 45 36 81 81us 81 P of = -1 P of -1 = into -1 - 5 into -1² -1 into -1 - 3 into -1 - 5 into 1 1 square - 1 square 1 + 11 - t - t - 5 + 11 - 11 - 8 + 8 p of p of -1 = p of - 1 by T of - 1 by T X - 1 by T into X - 1 by T cube - 5 into -1x T² - 11 into -1x T - T into -1 / 27 - 5 into 1 / 9 + 11 divided by t minus tus 1 by 9 - 5 by 9 - 5 by 9 that's last 11 by t minus Yes.
LMUS 9 sorry 9 - 6 + 33 - 27 / 9 - 6 - 27 - 20 30 - 33 + 30 divided by 9 that means 0 by 9 0 by 9 P of P of - 1 by T= 9 T - 1 - 1 by T px So window t - one r - 1 by t - 1 - 1 by px of px px It's okay.
plus beta plus gamma 1 by simplify 2 - 1 by t 2 - 1 by t 6 - 1 5 alpha into beta into gamma sorry into beta plus beta into gamma plus gamma into alpha into beta plus beta into gamma a 1x ta - t - 6 + 1 by t - 18 + 1us - 4 - 4 + 1 by t simplif into beta into gamma t into -1 into -1 by ta plus beta plus gamma plus beta plus beta into gamma alus meaning Ache.
B minus of - 5 by 3 value B value - 11 - 11 Cus d a minus of minus / a a minus a cusche.
Exercise 2.2.2.2 question 2.2 Thank you.
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