Question

P1 = (1,5). P2 = (x,2) .p1p2=5 ​

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}♨$

Let's use distance formula :

$\qquad \sf \dashrightarrow \: \sqrt{(x - 1) {}^{2} + (2 - 5) {}^{2} } = 5$

$\qquad \sf \dashrightarrow \: {(x - 1) {}^{2} + ( - 3) {}^{2} } = 5 {}^{2}$

$\qquad \sf \dashrightarrow \:(x - 1) {}^{2} + 9 = 25$

$\qquad \sf \dashrightarrow \:(x - 1) {}^{2} = 16$

$\qquad \sf \dashrightarrow \:(x - 1) = 16$

$\qquad \sf \dashrightarrow \:(x - 1) = \pm4$

$\qquad \sf \dashrightarrow \:x = 5 \: \: or \: \: - 3$