Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5
Answer:
<h2>E. √39</h2>
Step-by-step explanation:
see attached
<span>The equation yˆ=31314⋅1.06^x estimates the population of a town x years after the year 1995.
What is the estimated population of the town in the year 2000? Note that 2000 is 5 years past 1995, so x will be 5:
y (in the year 2000) = 31314*1.06^5 = 41906 (must round off to the nearest integer)</span>
x=-2
Step-by-step explanation:
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