Question

If α and β are the root of the equation 2X²-7X-3=0 Find α/β+1 + β/α+1







Working answer please

Answer 1

x = [ 7 +/- sqrt (49 + 24) ] / 4

α = (7+sqrt 73)/4
β = (7-sqrt 73)/4

now I do not care to go on because I am not sure if you mean what you typed
(α/β)+1
or
α/ (β+1)

Answer 2

It is α/β+1 + β/α+1


That is how the question is

Answer 3

But it is not typed on one line in your book.
What is the numerator and what is the denominator?
You need more parentheses when typing online.

Answer 4

a
---- + 1
b

or

a
------
b+1

Answer 5

α/β + 1 + β/α + 1


Sorry its error in tying

Answer 6

α
---- + 1
β

Answer 7

α/β + 1 + β/α + 1 = α/β + β/α + 2
I still think you may have it wrong
are you sure you do not mean:
α/(β + 1)
+
β/(α + 1 )

Answer 8

Okay .. Please you can still help out with
α/(β + 1)
+
β/(α + 1 )

Answer 9

β+1 = (7-sqrt 73)/4 + 4/4 = (11-sqrt 73)/4
α+1 = (7 +sqrt 73)/4 + 4/4 = (11+sqrt 73)/4

α/(β + 1) = (7+sqrt 73)/(11-sqrt73)
β/(α + 1 ) = (7-sqrt 73)/(11+sqrt 73)

α/(β + 1) = (7+sqrt 73)/(11-sqrt73) * (11+sqrt73)/(11+sqrt73)
β/(α + 1 ) = (7-sqrt 73)/(11+sqrt 73) * (11-sqrt 73)/(11-sqrt 73)

α/(β + 1) = (7+sqrt 73)* (11+sqrt73)/(121-73)
β/(α + 1 ) = (7-sqrt 73) * (11-sqrt 73)/(121- 73)

(77 +18 sqrt 73 +73)/48
(77 - 18 sqrt 73 +73/48
-------------------------------- add
(154 + 146) /48
= 150/48

Answer 10

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