Solve the problem.
-The formula N = 4x2 + 6x + 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 131 thousand households with
Computers in this city?
A) 1993
B) 1995
C) 1996
D) 1994

Question

Quizplus · Accepted Answer

To find the year when there were 131 thousand households with computers, we substitute N = 131 into the given formula and solve for x:131 = 4x^2 + 6x + 1First, subtract 131 from both sides to set the equation to 0:0 = 4x^2 + 6x + 1 - 1310 = 4x^2 + 6x - 130Next, solve the quadratic equation for x. This can be done by factoring, completing the square, or using the quadratic formula. In this case, the quadratic formula might be the most straightforward method:x = [-b ± sqrt(b^2 - 4ac)] / 2aHere, a = 4, b = 6, and c = -130, so:x = [-6 ± sqrt((6)^2 - 4(4)(-130))] / 2(4)x = [-6 ± sqrt(36 + 2080)] / 8x = [-6 ± sqrt(2116)] / 8x = [-6 ± 46] / 8This gives us two possible values for x:x = (46 - 6) / 8 = 40 / 8 = 5x = (-46 - 6) / 8 = -52 / 8 = -6.5Since x represents years after 1990 and cannot be negative, we discard the negative solution. Thus, x = 5, meaning that there were 131 thousand households with computers 5 years after 1990, which is in 1995.

Solve the Problem. -The Formula N = 4x2 + 6x + 1 Represents