English, asked by Anonymous, 10 months ago

help me guys which idendity i should use in
alpha - beta​

Answers

Answered by Intact
1
By algebraic identity, (a-b)² = (a+b)² - 4ab

2) Using this, (α - β)² = (α + β)² - 4αβ 

3) This shows that α - β = √(α + β)² - 4αβ
or

i assume this is in context with the roots of an equation.

For alpha minutes beta, there is a derived formula which I will provide below.

ax²+bx+c=0

Let ‘A’ be alpha and ‘B’ be beta,

We know that,

A+B=-b/a

AB=c/a

(A+B)²=(A-B)²+4AB

b²/a²=(A-B)²+4c/a

(b²-4ac)/a²=(A-B)²


∆/a²=(A-B)²

A-B=√(∆)/a or (√(b²-4ac))/a

Thanks for asking……;)
Answered by Anonymous
1

Answer:

We know, (a-b)² = (a+b)² - 4ab

So, (α - β)² = (α + β)² - 4αβ

α - β = √(α + β)² - 4αβ

please mark it as a brainlist answer

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