Question

For a positive integers m, m=2m^2+1. What is the value of x if x=45,001?

Answer 1

The value of x is 2,250.

Explanation:

The given expression is

`2m^(2) +1`

According to the problem, the expression is equal to 45,001 when uses x as variable, so

`2x^(2) +1=45001`

Solving for x, we have

`2x^(2) =45001-1\\x^(2) =(4500)/(2)\\ x=2250`

Therefore, the value of x is 2,250.

Answer 2

150

Explanation:

Given for any positive integer m,

M = 2m²+1

If a value X = 45,001

Then applying this in the equation

X = 2x²+1

45,001 = 2x²+1

2x² = 45,001-1

2x² = 45,000

x² = 45000/2

x² = 22500

x = √22500

x = 150

The value of x is 150