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rewona [7]
3 years ago
12

If a and b are the zeros of the quadratic polynomial 4x2+4x+1, find the value of a/b+b/a?

Mathematics
1 answer:
kow [346]3 years ago
7 0

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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<img src="https://tex.z-dn.net/?f=3x%20%7B%20%7D%5E%7B2%7D%20%20%3D%20%20-%2054%20" id="TexFormula1" title="3x { }^{2} = - 54
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