If a and b are the zeros of the quadratic polynomial 4x2+4x+1, find the value of a/b+b/a?
1 answer:
Answer:
2
Step-by-step explanation:
First you need to factor your quadratic equation. You'll get (2x+1)(2x+1). Your two zeroes will be -1/2 and -1/2 with one being a, the other b. So then
a/b = (-1/2)/(-1/2)
and
b/a = (-1/2)/(-1/2)
Both reduce to 1. So a/b + b/a is 1+1=2
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