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# Help algebra

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

Apr 25, 2021

#1
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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
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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
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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   Apr 26, 2021