Here is a rough map of a neighborhood. There are 4 mail routes during the week.

On Monday, the mail truck follows the route A-B-E-F-G-H-A, which is 14 miles long.

On Tuesday, the mail truck follows the route B-C-D-E-F-G-B, which is 22 miles long.

On Wednesday, the truck follows the route A-B-C-D-E-F-G-H-A, which is 24 miles long.

On Thursday, the mail truck follows the route B-E-F-G-B.

How long is the route on Thursdays?
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x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

for the free

< < < emily> > >

answer: 12x^2+6x

step-by-step explanation:

6x does not equal 24x. hope it works!