The formula Upper N equals 3 x squared plus 4 x plus 1 represents the number of households​ N, in​ thousands, in a certain city that have a computer x years after 1990. According to the​formula, in what year were there 65 thousand households with computers in this​ city?

Modelfino0g

Modelfino0g

Answered question

2022-09-09

The formula Upper N equals 3 x squared plus 4 x plus 1 represents the number of households​ N, in​ thousands, in a certain city that have a computer x years after 1990. According to the​formula, in what year were there 65 thousand households with computers in this​ city?

Answer & Explanation

Dalton Erickson

Dalton Erickson

Beginner2022-09-10Added 10 answers

N = 3 x 2 + 4 x + 1
Now according to question,
N = 3 x 2 + 4 x + 1 = 65 3 x 2 + 4 x 64 = 0 x = b ± b 2 4 a c 2 a = 4 ± 16 + 4 × 3 × 64 2 × 3 = 4 ± 784 6 = 4 ± 28 6 x = 32 6 , 4
it's x can't be negative, so x=4
Therefore, after 4 years i.e in 1994 these were 65 thousand households with computer in this city.

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