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MATHEMATICS

JAMB 2020 - Question 5

Mathematics 2020 JAMB Past Questions - Question 5: If (a^2b−3c)^3/4/a^−1b4c5(a2b−3c)3/4a−1b4c5 = apbAcra; what is the value of p+2q?

Choose the most appropriate option for the gap .

If (a^2b−3c)^3/4/a^−1b4c5(a2b−3c)3/4a−1b4c5 = apbAcra; what is the value of p+2q?

A: 5/2

B: -5/4

C: -25/4

D: -10

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Correct Answer

Explanation

= (a2)3/4×(b−3)3/4×c3/4a−1b4c5 =ap×bq×cr= a3/2×b−9/4×c3/4a−1b4c5 = apbqcr = a3/4+1b−9/4−4c3/5−5 = apbqcr= a5/2b−25/4c−17/4 = apbqcrtherefore, p=5/2, q=-25/4 and r = -17/42a + q = 52−2×−254= -20/2 = -10