CPhill

Nicely done, rosala.....!!!!

We have that either,

l x -1 l - 5  = 6           or  that   (l x -1 l - 5)  = - 6

Working with the first, we have

l x - 1 l   = 11     which implies that

x - 1 = 11          and       x - 1  = -11

So  x = 12          and  x = -10

And working with the second, we have

 l x - 1 l - 5  = -6

 l x - 1 l = -1      which is impossible

So,  the sum of the roots = 2

Well...it SEEMED pretty convincing, Melody....!!!!

I still gave you points........!!!!

Nice explanation, Tetration.....

100 - 3(29.95) = $10.15

Actually, we need 7 because 6 x 15  = 90  ....and we need one more to supervise the other 10 chidren...

Call the number of dimes, x  ... the tne number of quarters is x + 8...

So we have...

.10(x) + (.25)(x + 8) = 5.50  simplify

.10x + .25x + 2  = 5.50    subtract 2 on both sides

.35x = 3.50      divide by .35 on each side

x = 10    and this is the number of dimes

x + 8  = 10 + 8  = 18   and this is the number of quarters

2x^2-x+1=0  

This has no "real" solutions since b^2 - 4ac = (-1)^2 - 4(2)(1)  = 1 - 8 = -7

Raising something to  the (1/2) power is the same as taking the square root of that thing...

For instance... (4)^(1/2) = √4  = 2   ....!!!

If it doubled, it would be a 100% increae

If it tripled, it would be a 200% increase

So..it appears that the percent increase is given by

[(New Area) / (Old Area) - 1 ] x 100%

Can you take it from here ???