If the distance between the points (3, –5) and (x, –5) is 15 units, then the values of x are

Question

If the distance between the points (3, –5) and (x, –5) is 15 units, then the values of x are :

Smart Achievers · Accepted Answer

(2)

$Here, (15)^{2} = {(3 - x)}^{2} + {(- 5 + 5)}^{2}$

$\Rightarrow 225 = 9 - 6 x + x^{2} \Rightarrow x^{2} - 6 x - 216 = 0$

$\Rightarrow x^{2} - 18 x + 12 x - 216 = 0 \Rightarrow x (x - 18) + 12 (x - 18) = 0$

$\Rightarrow (x - 18) (x + 12) = 0 \Rightarrow x = - 12, 18$

Want Us to Email you About Special Offers & Updates?