Subject
Quantitative Aptitude
Topic
Algebra
In the following question, there are two equations. Solve them and give answer
I. 20P2+ 31P + 12 = 0
II. 21Q2+ 23Q + 6 = 0
In the following question, there are two equations. Solve them and give answer I. 20P2+ 31P + 12 = 0 II. 21Q2+ 23Q + 6 = 0
ক)
P < Qখ)
P > Qগ)
P ≤ Qঘ)
P ≥ Qঙ)
P = QExplanation
I. 20P 2 + 31P + 12 = 0 On doing factorization ⇒ 20P 2 + 15P + 16P + 12 = 0 ⇒ 5P (4P + 3) + 4 (4P + 3) = 0 ⇒ (4P + 3) (5P + 4) = 0 ⇒ P = -3/4, -4/5 ⇒ P = - 0.75, -0.80 II. 21Q 2 + 23Q + 6 = 0 On doing factorization ⇒ 21Q 2 + 9Q + 14Q + 6 = 0 ⇒ 3Q (7Q + 3) + 2 (7Q + 3) = 0 ⇒ (7Q + 3) (3Q + 2) = 0 ⇒ Q = ⇒ Q = - 0.43, -0.66 On taking Q = - 0.43 ⇒ P < Q (for both the values of P) . . . . equation 1 On taking Q = − 0.66 −0.66 ⇒ P < Q (for both the values of P) . . . . equation 2 From equation 1 and 2 P < QRelated questions
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