Question

X square + 1 by x square is equal to 18 find the value of x minus one by X​

Answer 1

Answer:

4

Step-by-step explanation:

Hope you will understand this answer

Answer 2

Given,

$(x ^{2} + 1 \div x ^{2} ) = 18$

To find,

The value of (x-1/x).

Solution,

The value of (x-1/x) will be 4.

We can easily solve this problem by following the given steps.

According to the question,

We have the following expression:

$(x ^{2} + 1 \div x ^{2} ) = 18$

Now to find the value of (x-1/x), we will whole square this expression.

(x-1/x)²

Now, using the identity: (a-b)² = a²+b²-2ab to expand this expression-

(x-1/x)² = x²+(1/x)²-2(x)(1/x)

(x-1/x)² = x²+1/x²-2

Now, putting the values of (x²+1/x²) to be 18:

(x-1/x)² = (18-2)

(x-1/x)² = 16

Removing the square from the left-hand side,

(x-1/x) = $\sqrt{16}$

(x-1/x) = 4

Hence, the value of (x-1/x) is 4.