In Fig. 4.72, . If OA = 3x – 19, OB = x – 4, OC = x – 3 and OD = 4, find x.

Question

In Fig. 4.72, . If OA = 3x &#x2013; 19, OB = x &#x2013; 4, OC = x &#x2013; 3 and OD = 4, find x.

Philoid · Accepted Answer

AO/OC=BO/OD

3X-19/X-3=X-4/4

(x-3)(x-4)=4(3x-19)

X² -4x-3x+12=12x-76

X² -7x+12-12x+76=0

X² -19x+88=0

X² -11x-8x+88=0

X(x-11)-8(x-11)=0

(x-11)(x-8)=0

x-11=0

x=11

or x-8=0

x=8

x=11 or 8