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- Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x^2+ 8x + 4 = 0?
Question 1:
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x^2+ 8x + 4 = 0? A. 15
B. 14
Feedback a/b + b/a = (a^2 + b^2)/ab = (a^2 + b^2 + a + b)/ab
[(a + b)^2 - 2ab]/ab
a + b = -8/1 = -8
ab = 4/1 = 4
Hence a/b + b/a = [(-8)^2 - 2(4)]/4 = 56/4 = 14.
[(a + b)^2 - 2ab]/ab
a + b = -8/1 = -8
ab = 4/1 = 4
Hence a/b + b/a = [(-8)^2 - 2(4)]/4 = 56/4 = 14.
C. 24
D. 26
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