Question

if x=6½+5⅕ then x²+1/x½-2

Answer 1

Given :

⟶ x = 6½ + 5⅕

To find :

⟶ x² + 1/x½ - 2?

Solution :

Here, We are given with the value of x and we need to find x² + 1/x½ - 2, Let's reduce the value of x and then we will put it in the given equation. The resultant after doing required calculation is our answer.

According to the question,

⟶ x = 6½ + 5⅕

⟶ 13/2 + 26/5

⟶ 65 + 52/10

⟶ 117/10

⟶ 11.7

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Let's put the value of x in the equation,

⟶ x² + 1/x½ - 2

⟶ (11.7)² + 1/12.2 - 2

⟶ 136.89 + 1/12.2 - 2

⟶ 136.92 - 2

⟶ 134.92 ( Approx )

Therefore, x² + 1/x½ - 2 is equal to 134.92 approximately.

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~ Additional information :

• While solving these kind of questions, Rationalize x first and then put it in the given equation.

• Convert improper fractions to mixed fractions, If there are!

• The resultant should be simplified/reduced as much as possible.