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:
38
Step-by-step explanation:
7/32
Keep the pattern going. A(n)=A(n-1)*-1/2
14, -7, 7/2, -7/4, 7/8, -7/16, 7/32
Since Chloe collected 4 times as much as her friend, who collected 1/6 a bag, you will have to multiply 4 by 1/6 to find how much Chloe collected.
To multiply fractions, you multiply the numerators and multiply the denominators. Then you put the product you got from multiplying the numerators over the product you got from multiplying the denominators. Remember that 4 is the same as 4/1. Simplify the product if needed.:
Chloe collected 2/3 of a bag.