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What is the value of if the algebraic equation is .

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-9

None of the above

answer is A.

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Detailed Solution

Concept- In order to answer this question, we will assume that

. Next, we will write the expression for

using the formula

. Then, using the equation

, we may obtain the equation between

and

. Then, using the provided data, we will replace the value of

and find the appropriate value of

.
Given:
If

, and we must determine the value of

.
Now, before moving on, you should be familiar with the following formula:

We will now apply the two formulas mentioned above to answer this question.
Let

now, and we can create the expression for

by utilising the equation's formula

. Then,

We will now use the equation's formula from equation

to write the expression

. Then,

Now, as it is given that value of

So, we can substitute it’s given value in the above equation.
Then,

We will now calculate the square roots of the terms on the left and right sides of the previous equation.
Then,

Now that we are aware that

because it is negative for any

value of

.
Then,

We will now calculate the square roots of the terms on the left and right sides of the previous equation.
Then,

Now that we have the aforementioned result, we can deduce that the value of

and that is correct. Then,

The value of

, therefore, if

, according to the previous finding.
As a result,

.
Hence, option 1 is correct.

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