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Question
If the distance between points (x, 0) and (0, 3) is 5, what are the values of x?
Solution
We have to find the unknown x using the distance between A( x , 0) and B ( 0 , 3 ) which is 5.In general, the distance between A`(x_1 , x_2 )` and B `(x_2 , y_2) ` is given by,
`AB = sqrt( ( x_2 - x_1 )^2 + (y_2 - y_1)^2)`
So,
`5 = sqrt ( ( x - 0)^2 + ( 0 -3 )^2 ) `
Squaring both the sides we get,
`x^2 - 16 = 0`
So,
`x = +- 4`
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