help me guys which idendity i should use in
alpha - beta
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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……;)
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
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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