Question

if a + 1 by a is equal to 17 by 4 find the value of a minus 1 by a ​

Answer 1

Step-by-step explanation:

a+1/a=17/4

4a+4=17a

13a=4

a=4/13

Answer 2

Answer:

The value of $\frac{1}{a}$ is 3.75

Given Data:

If a + 1 by a is equal to 17 by 4

To find:

The value of a - $\frac{1}{a}$

Step 1:

Given that $a + \frac{1}{a}$

By squaring on both sides, we can get  

$\left(a+\frac{1}{a}\right)^{2}=\left(\frac{17}{4}\right)^{2}$

Step 2:

By using the formula,$(a+b)^{2}=a^{2}+b^{2}+2 a b$

Then the above equation becomes,

$\{a}^{2}+\left(\frac{1}{a}\right)^{2}=\mathrm{x}^{2}$

$k^2+ (\frac{1}{a})^2=16.025$---------(1)

Step 3:

To find the value of $\left(\mathrm{a}-\frac{1}{a}\right)$=x (Say)

Squaring on both sides,  

$\left(\mathrm{a}-\frac{1}{a}\right)^{2}=\mathrm{x}^{2}$

Step 4:

By using the formula, (a-b)^{2}=a^{2}+b^{2}-2 a b

Then the above equation becomes,

$\text {a}^{2}-\left(\frac{1}{a}\right)^{2}-2=x^{2}$

Step 5:

Then substitute the value of$\mathrm{a}^{2}+\left(\frac{1}{a}\right)^{2}$ from the equation (1) in the above equation,

16.025-2$=\mathrm{x}^{2}$

=14.025 $=\mathrm{x}^{2}$

= 3.75

Step 6:

Result:

Therefore, $a-\frac{1}{a}$ is=3.75.