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Syed waseem

· started a discussion

· 1 Months ago

Why cant we solve through middle term spliting (Question:164921.3)

The answer is incorrect if dolved via m.t.s

Question:
DIRECTIONS: In the following questions, two equations numbered I and II are given. Solve both the equations and given your answer as

I. 10P2 - 21P + 9= 0 

II. 24q2 – 10q + 1 = 0
Options:
A)

If p > q 

B) If p ≥ q
C) If p < q
D) If p ≤ q
E) If p = q or relationship cannot be established
Solution:
Ans: (a) 

I.

10P2 - 21P + 9 = 0 

10P2 -15P – 6P + 9 = 0

5P(2P - 3) – 3(2P - 3) = 0

(5P - 3)(2P – 3) = 0

If 5P - 3 = 0 then P =3/5

If 2P – 3 = 0 then P = 3/2

II.

24q2 - 10q + 1 = 0

24q2 - 6q - 4q+ 3q - 1 = 0

6q(4q - 1) - (4q - 1) = 0

(6q - 1)(4q - 1) = 0

If 6q - 1 = 0 then q = 1/6

If 4q - 1 = 0 then q = 1/4

As, p = 3/5, p = 3/2 and q = 1/6, q=1/4 

Hence p > q

Knowledge Expert

· commented

· 1 Months ago

Dear Student, Correlate the values of p and q properly. As we have, p = -2, 0.25 and q = 0.33, -1 -2<0.33 means p<q -2<-1 means p<q 0.25<0.33 means p<q 0.25>-1 means p>q < and > never occur together, so no relationship can be made. Keep Learning with Us Best Wishes Team Toprankers
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