Solution of Biquadratic equations by Ferrari's method ||Exercise - 9.3 ||Algebra B. A. /B. Sc 1st

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In this Video, you learn about the solution of Biquadratic equations by Ferrari's Method.
Exercise 9.3 Algebra B. A. /B. Sc 1st Year Maths.
Algebra sem 1st.

How to solve the problems with the method of Ferrari's.

pdf of exercise 9.3

Telegram link :-
B.A /B.Sc 1st Maths by Anju Sangwan @ neweramaths

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Eventhough the equation is biquardatic we can solve it in two ways without using the Ferrari's method.
x⁴+2x³-7x²-8x+12=0
• Sum of the coefficients is 1+2-7-8+12=0 Therefore x=1 is one solution.
• The equation then can be factored as

=x⁴+(a-1)x³+(b-a)x²+(c-b)x-c
Then a-1=2 --> a=3
b-a=-7 --> b=-4
c-b=-8 --> c=-12
x³+3x²-4x-12=0 --> x²(x+3)-4(x+3)=0
(x-2)(x+2)(x+3)=0
• The other solutions of x are -3, -2, 2.
☆ The second method is by noting that if x1, x2, x3, and x4 is the solution of x⁴+ax³+bx²+cx+d then x1+x2+x3+x4=-a and x1(x2)(x3)(x4)=e. Here a=2 and e=12. x1, x2, x3, x4 may be ±1, ±2, ±3, ±4, ±6, ±12. We csn try any one. When we find a value that satifies the equation then use it to factor the equation is done in the first method.

nasrullahhusnan
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thank you mam for teaching and i can understant all question thanks a lot mam

ArjunSingh-ujzi
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Dhanya h hm, mam Jo apna hma solution u so much mam❤

piyu
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Mam your videos are very helpful and easy for me.You way to teach is very well and nice.So great mam.🙏🙏✌️✌️👍👍

Musiclover-ztte
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Brilliant ma'am, .
Apko to professor hona chahiye, 👍
But ye easy bhi to h.

Satisfying_YT
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You explain very well aapka ka bahut dhanyawad

AMITKUMAR-prvk
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Mam aap konsi University ka syllabus krva rhe ho

manjupareek
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Mam, u have not shared the pdf of ex. 4.3 calculus on telegram. And Thanks mam, ur videos are very helpful

TannuSharma-ulfc
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Maam in last question i think it should be + 2 lamda sq.

devotedformaths
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Mam, CBLU in UG there are three exams of mathematics held, when a student is absent in one exam of maths, can he give other two remaining papers? Otherwise university will give reappear because of absent ? mam plzzz reply🙏🙏

parmodsharma
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8:58 wo lambda nhi x hoga mam galat likha he aone but Wo 0 ho jayega isliye koi dikwat ki bat nhi .... But wo wrong he

CodingDiscussion
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Mam Descartes rule ka newtons divisor method bhi karwa do pls.. Aap bahut achha samjhate ho..

manuahuja
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Mam...9.3 exercise ki pdf nhi mil rhi telegram prr?

hryash
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Mam aapka telegram channel ka kya naam h

pawanrana
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Mam Aap apne According chapter kr
Vaeye sub ki alg alg wish h. ....??

jitusingh
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Ma'am plz calculas ka chapter 10 or 11 kra dijiye

vijaysisodia
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Mam 9 chapter ki pdf telegram PE nahi hai
Please bhej do mam

neerajdahiya
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Thanks Mam,
ydi Mam 3 Degree term nhi di hui ho like this(x^4-3x^2-6x-2) . to is question ko kese hal krenge.
please help me mam, because my exam is near.

abhishekrathore