Question

In fig. AB|| CD. If OA = 3x-19 ,OB= x-4, OC= x-3 and OD = 4, Find x

Answer 1

Answer:

X = 11 or x = 8

Step-by-step explanation:

(iii) it is given that AB∥CD

And OA = 3x – 19 OB = x – 4 OC = x – 3 and OD = 4

We need to find the value of x,

Now, Now, AOOC=BOOD

3x–19x–3=x–44

4(3x – 19) = (x – 3) (x – 4)

12x – 76 = x(x – 4) -3(x – 4)

12x – 76 = x2 – 4x – 3x + 12

-x2 + 7x – 12 + 12x -76 = 0

-x2 + 19x – 88 = 0

X2 – 19x + 88 = 0

X2 – 11x – 8x + 88 = 0

X(x – 11) – 8(x – 11) = 0

X = 11 or x = 8