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Find the value of the expression given below,

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5a – 1

5a + 1

a + 1

a – 1

answer is B.

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Detailed Solution

Concept- Use the formulae

, and

in the given expression and then solve the quadratic expression

present in the denominator by replacing

and after simplification you will get the final answer.
In order to solve the following expression, we will first write it down and suppose that it is the letter "," so we will obtain,

We must understand how division can be changed to multiplication as stated below in order to move forward with the solution.

The formula above allows us to formulate our equation as,

________________(1)
When we rearrange the aforementioned equation, we can utilize the following straightforward algebraic formulas:

By using above formula we can write our equation as,

When we rearrange the aforementioned equation, we can utilise the following straightforward algebraic formulas:

Now, we need to understand the formulas given below in order to answer the equation above.

If we use the above formulae in '

' we will get,
Question Image

Now if we observe the above equation carefully then we can easily cancel out

as it is present in both numerator and denominator, therefore by canceling out

we will get,

The expression

We can substitute - 16 a by (existing in the denominator of the preceding equation) to obtain, by substituting it in the preceding equation.

Taking 5 common in the denominator of the above equation we will get,

Also taking -1 common from the denominator of the above equation we will get,

Now, taking

common from the denominator of the above equation we will get,

If we observe the above equation carefully then we will come to know that we can easily cancel out

and

as they are both present in numerator as well as in denominator, therefore by canceling them out we will get,

If we put the value of '

' from above equation in equation (1) we will get,

Therefore the value of the expression

is equal to

. Therefore the correct answer is option 2)

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