Question

Find the value of x for which the distance between the point A (x, 2) and B (9,8) is 10 unit
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Answer 1

Answer:

x=17

x=1

Step-by-step explanation:

distance formula = $\sqrt{(x_{2}-x_{1})^{2} + {(y_{2}-y_{1})^{2}}$

A(x,2); B(9,8) and distance between them is 10 units

10 = $\sqrt{(9-x)^{2} + ({8-2)^{2}}$

squaring on both sides

100 = $(9-x)^{2}$ + $6^{2}$

100 = 81 + $x^{2}$ -18x +36

$x^{2}$ -18x + 17 = 0

(x-17)(x-1) = 0

Therefore, x = 17 (or) x = 1