Question

Ab= 14 Co=8 OD=3 Find ob

Answer 1

OB be x

$\\ \sf\longmapsto AO\times OB=CO\times OD$

$\\ \sf\longmapsto (14-x)x=8(3)$

$\\ \sf\longmapsto 14x-x^2=24$

$\\ \sf\longmapsto x^2-14x+24=0$

$\\ \sf\longmapsto x^2-12x-2x+24=0$

$\\ \sf\longmapsto x(x-12)-2(x-12)=0$

$\\ \sf\longmapsto (x-2)(x-12)=0$

$\\ \sf\longmapsto x=2\:or\:x=12$