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Answered by
1
Answer:
2/3
Step-by-step explanation:
Given Equation is 5x² + 2x - 3.
On comparing with ax² + bx + c = 0,
a = 5, b = 2, c = -3.
(i)
We know that Sum of roots = -b/a
α + β = -2/5.
(ii)
We know that Product of roots = c/a
αβ = -3/5.
Now,
⇒ (α/β) + (β/α)
⇒ (α² + β²)/αβ
We know that (α + β)² = α² + β² + 2αβ
⇒ (-2/5)² = α² + β² + 2(-3/5)
⇒ 4/25 = α² + β² - 6/5
⇒ 34/25 = α² + β².
Now,
⇒ (34/25)/-3/5
⇒ -34/15
Hope it helps!
Ramlayaksingh3:
sir you missed one thing
a/b+b/a=(a+b)^2/ab !!
How come it will be (a + b)^2?
i mean a^2 +b^2 .
then it will be -34/15 instead of 34/15
yes I am also getting the same answer
thank you sir
welcome
Answered by
0
Answer:
-34/15
Step-by-step explanation:
Given Equation is 5x² + 2x - 3.
On comparing with ax² + bx + c = 0,
a = 5, b = 2, c = -3.
(i)
We know that Sum of roots = -b/a
α + β = -2/5.
(ii)
Product of roots = c/a
αβ = -3/5.
Now,
(α/β) + (β/α)
(α² + β²)/αβ
(-2/5)² = α² + β² + 2(-3/5)
4/25 = α² + β² - 6/5
34/25 = α² + β².
(34/25)/-3/5
-34/15
brainliest any answer
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