Question

If a-1/a=5, then a+1/a =?

Answer 1

hello mate! ........


given......


$\frac{a - 1}{a} = 5 \\ \\ a - 1 = 5a \\ \\ 5a - a = - 1 \\ \\ 4a = - 1 \\ \\ a = \frac{ - 1}{4} \\ \\ then..... \\ \frac{a + 1}{a} = \frac{ \frac{ - 1}{4 } + 1}{ \frac{ - 1}{4} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{ - 1 + 4}{4} }{ \frac{ - 1}{4} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{4} }{ \frac{ - 1}{4} } \\ \\ \frac{a + 1}{a} = - 3$
hope it helps u dear.....

Answer 2

The value of a+ $\frac{1}{a}$ = 5.38 ,  -5.45

Given:

a - $\frac{1}{a}$=5

To find:

The vale of a+ $\frac{1}{a}$ =?

Explanation:

Given that

a - $\frac{1}{a}$ = 5

$\frac{a^2 -1}{a}$ = 5

a² -1 =5a

a² - 5a -1 = 0

By solving above equation,

a = 5.19   and a = -0.19

Finding the value of a+ $\frac{1}{a}$

So the value of a+ $\frac{1}{a}$ = 5.19 + $\frac{1}{5.19}$ = 5.38

                 and a+ $\frac{1}{a}$ = (-0.19) + $\frac{1}{(-0.19)}$

                                = -5.45

The value of a+ $\frac{1}{a}$ = 5.38 ,  -5.45

To learn more...

1)The sum of the roots of a quadratic equation is 3 while the sum of the squares of its roots is 7. find the equation.

https://brainly.in/question/4888783

2)Show that the product of the roots of a quadratic equation is ‘c/a’.

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