Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
[tex]\sqrt x + \sqrt x = (4.4,4.5)[/tex]
Required
Find x
When the result is 4.4, we have:
[tex]\sqrt x + \sqrt x = 4.4[/tex]
This gives:
[tex]2\sqrt x = 4.4[/tex]
Divide both sides by 2
[tex]\sqrt x = 2.2[/tex]
Square both sides
[tex]x = 2.2^2[/tex]
[tex]x = 4.84[/tex]
When the result is 4.5, we have:
[tex]\sqrt x + \sqrt x = 4.5[/tex]
[tex]2\sqrt x = 4.5\\[/tex]
Divide both sides by 2
[tex]\sqrt x = 2.25[/tex]
Square both sides
[tex]x = 2.25^2[/tex]
[tex]x = 5.0625[/tex]
So, the value of x is between 4.84 and 5.0625
i.e.
[tex]x = (4.84,5.0625)[/tex]
The only integer between the above interval is 5.
Hence:
[tex]x = 5[/tex]
