+0  
 
0
96
3
avatar

Let a and b be the solutions to 5x^2 - 11x + 4 = 0.  Find 1/(a + 1)  + 1/(b + 1).

 Apr 25, 2021
 #1
avatar+389 
+4

we first use the quadratic equation to found out what is A and B then we plugin number and use a calculator to found the answer which is 21/20 sorry for the previous answer, I see the question wrong

 Apr 26, 2021
edited by Dennis070sinneD  Apr 26, 2021
edited by Dennis070sinneD  Apr 26, 2021
 #2
avatar
0

The problem is (in LaTeX):

 

Let \(a\) and \(b\) be the solutions to \(5x^{2}-11x+4=0\). Find \(\frac{1}{a+1} + \frac{1}{b+1}\).

 

FYI: In LaTeX, 

\binom{a}{b} = \(\binom{a}{b}\)

a^{b} = \(a^{b}\)

\frac{a}{b} = \(\frac{a}{b}\)

 Apr 26, 2021
 #3
avatar+121000 
+2

1/ ( a + 1)   +  1 / ( b + 1)   =

 

     a + b  +  2

_______________

ab + a +   b +  1

 

By Vieta

 

The  sum of the roots    =  11 / 5   =  a + b

And  the product of the roots =   4/5    =  ab

 

So

 

(11/5)  + 2                               21 / 5                 21

_________________   =   __________  =     ____ 

 (4/5)  + ( 11/5)  + 1                20  / 5                20

 

 

cool cool cool

 Apr 26, 2021

8 Online Users