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