Find the zeros of Q(r) = 3r² - 30r + 72 by factoring. Enter your answers in increasing order. r= r = i 5 i 4
Find the zeros of Q(r) = 3r² - 30r + 72 by factoring. Enter your answers in increasing order. r= r = i 5 i 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the zeros of Q(r) = 3r² - 30r + 72 by factoring.
Enter your answers in increasing order.
r =
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Expert Solution
Step 1
Solution:
Q(r) = 3r2 - 30r + 72
= 3(r2 - 10r + 24)
= 3 [r2 - 6r - 4r + 24]
= 3 [r(r - 6) - 4(r - 6)]
= 3 (r - 6)(r - 4)
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