Question

hey guys I am stuck on this question so can anyone help with this question because my exam is in the next coming week so please the rewards for the correct answer with full explanation are the branliest answer and 100 points. so, please :)

Answer 1

Question:

If x = √3 + 1, find the value of x - 2/x.

Answer:

2

Step-by-step explanation:

Given value of x is √3 + 1. We need to find out the value of x - 2/x.

Now,

→ 1/x = 1/(√3 + 1)

Rationalise the denominator,

→ 1/x = 1/(√3 + 1) × (√3 - 1)/(√3 - 1)

→ 1/x = (√3 - 1)/[(√3 + 1)(√3 - 1)]

Used formula: (a + b)(a - b) = a² - b²

→ 1/x = (√3 - 1)/(3 - 1)

→ 1/x = (√3 - 1)/2

Multiply by 2 on both sides, to get the value of 2/x

→ 1/x × 2 = (√3 - 1)/2 × 2

→ 2/x = √3 - 1

Now,

→ x - 2/x = √3 + 1 - (√3 - 1)

→ x - 2/x = √3 + 1 - √3 + 1

→ x - 2/x = 2

Hence, the value of x - 2/x is 2.

Answer 2

Answe. 2

Step-by-step explanation:

x=√3+1

x-2/x

put the value of x in given equation

√3+1 – 2

-----

√3+1

(√3+1) (√3+1) – 2

------------------------.

√3+1

using (a+b)²=a²+b²+2ab

(√3) ² +(1)² + 2(√3)(1) –2

-----------------------------------

√3+1

3 +1 + 2√3 –2

=----------------------

√3+1

2√3+2

= ------------

√3+1

2(√3+1)

--------------

√3+1 = 2 answer