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Find x so the distance between (x, 2) and (3, 3) is 2 . (Enter your answers as a comma-separated list.)

User Sandburg
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1 Answer

6 votes

Answer:

Explanation:

The formula for calculating distance between two points is expressed as;

D = √(x2-x1)²+(y2-y1)²

Given the coordinates

x1 = x, y1 = 2, x2 = 3, y2 = 3 and D = 2

Substitute into the formula

2 = √(3-x)²+(3-2)²

2² = (3-x)²+(3-2)²

4 = (3-x)²+1²

4-1 = (3-x)²

3 = (3-x)²

Square root both sides

±√3 = 3-x

x = 3±√3

x = 3+√3 and 3-√3

Hence the value of x are (3+√3, 3-√3)

User Kevin Anderson
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