Question

if a+1/a =17/4 what is -1/a​

Answer 1

Answer:

4a-17/4

Step-by-step explanation:

a+1/a=17/4

a-17/4= -1/a

4a-17/4= -1/a

Answer 2

Answer:

-1/a = -1/4 or -4

Step-by-step explanation:

Let's see     a+1/a = 17/4

By taking the LCM, we get a quadratic equation which is,

                       4a^2 - 17a + 4 = 0

= 4a^2 - 16a - a + 4

Hence, a = 4 or a = 1/4

Now, putting both of a's value in -1/a,

When a = 4:

-1/a = -1/4

When a = 1/4:

-1/a = -4

Hope this solution helps you. Have a great day ahead!!