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Inessa [10]
3 years ago
15

An expression is given that has a value between 4.44.4 and 4.54.5, and where xx represents an integer. ​ ​ \sqrt{x}+\sqrt{x} x ​

+ x ​ ​ What is the value of xx?
Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

Given

\sqrt x + \sqrt x = (4.4,4.5)

Required

Find x

When the result is 4.4, we have:

\sqrt x + \sqrt x = 4.4

This gives:

2\sqrt x = 4.4

Divide both sides by 2

\sqrt x = 2.2

Square both sides

x = 2.2^2

x = 4.84

When the result is 4.5, we have:

\sqrt x + \sqrt x = 4.5

2\sqrt x = 4.5\\

Divide both sides by 2

\sqrt x = 2.25

Square both sides

x = 2.25^2

x = 5.0625

So, the value of x is between 4.84 and 5.0625

i.e.

x = (4.84,5.0625)

The only integer between the above interval is 5.

Hence:

x = 5

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