Question

point
if the distance between two points (x,7)
and {1, 15) is 10. find x?​

Answer 1

Answer:-5

Step-by-step explanation:

Answer 2

$\huge \fcolorbox{e}{pink}{Solution :)}$

Given ,

• The two points are (x,7) and {1, 15) and their distance is 10 units

We know that , the distance between two points are given by

$\large \mathtt{\fbox{D = \sqrt{ { (x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} } \: \: }}$

Substitute the known values , we get

$\sf \mapsto 10 = \sqrt{ {(1 - x)}^{2} + {(15 - 7)}^{2} } \\ \\ \sf \mapsto 10 = \sqrt{1 + {(x)}^{2} + 2x + 64 } \\ \\ \sf \mapsto 100 = {(x)}^{2} + 2x + 65 \\ \\ \sf \mapsto {(x)}^{2} + 2x - 35 = 0 \\ \\ \sf \mapsto {(x)}^{2} - 5x + 7x- 35 = 0 \\ \\ \sf \mapsto x(x - 5) + 7(x - 5) = 0 \\ \\ \sf \mapsto (x + 7)(x - 5) = 0 \\ \\ \sf \mapsto x = - 7 \: \: or \: \: x = 5$

Hence , the required value of x can be -7 or 5

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