What is the solution to the equation shown below

x = 3

Option 1 is correct.

Step-by-step explanation:

Given:

First we check restriction on x from equation.

Denominator can't be 0

So,  x-2 ≠0

         x ≠ 2

Inside the square root value always positive.

Therefore, x-2 ≥ 0

                     x ≥ 2

Now simplify the equation.

squaring both sides

x=3 and two are imaginary

Now we take intersection of all two condition and one solution.

x ≠ 2 and x ≥ 2  and x=3

Intersection of all three, x = 3

Hence, The solution of the given equation is 3

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500