SOLUTION: My book says the answer is -5 and -3, where am I missing it? {{{x^2-8x-15=0}}} x={{{(-(-8)+- sqrt(-8^2-4*1*15))/(2*1)}}} x={{{8+- sqrt (64-60)/(2)}}} x={{{8+- sqrt (4)/(2)}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: My book says the answer is -5 and -3, where am I missing it? {{{x^2-8x-15=0}}} x={{{(-(-8)+- sqrt(-8^2-4*1*15))/(2*1)}}} x={{{8+- sqrt (64-60)/(2)}}} x={{{8+- sqrt (4)/(2)}}}       Log On


   



Question 259972: My book says the answer is -5 and -3, where am I missing it?
x%5E2-8x-15=0
x=%28-%28-8%29%2B-+sqrt%28-8%5E2-4%2A1%2A15%29%29%2F%282%2A1%29
x=8%2B-+sqrt+%2864-60%29%2F%282%29
x=8%2B-+sqrt+%284%29%2F%282%29
x=%288%2B2%29%2F%282%29=+10%2F2+=+5
x=%288-2%29%2F%282%29=+6%2F2+=3

Found 2 solutions by ankor@dixie-net.com, Edwin McCravy:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
My book says the answer is -5 and -3, where am I missing it?
x%5E2-8x-15=0, assume the equation should be x^2 - 8x + 15
x=%28-%28-8%29%2B-+sqrt%28-8%5E2-4%2A1%2A15%29%29%2F%282%2A1%29
x=8%2B-+sqrt+%2864-60%29%2F%282%29
x=8%2B-+sqrt+%284%29%2F%282%29
:
Th book is wrong, this would factor to:
(x-5)(x-3) = 0
which is:
x=5,x=3

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

I think you aren't being careful with your signs and
with putting parentheses around what you are substituting.
If your book says the solutions are -5 and -3, then you 
have typed one or two signs wrong in the original problem, 
or else the book has a typographical error, and sometimes 
they do.

You gave the problem as

x%5E2-8x-15=0

but the solutions to that are not -5 and -3.

You would have to have had this problem instead

x%5E2%2B8x%2B15=0  [not x%5E2-8x%2B15=0 as the other tutor said.]

In order to get solutions -5 and -3.

Then you would factor and get

%28x%2B5%29%28x%2B3%29=0

and then you'd set each of those = 0 and get

x+5=0      x+3=0
  x=-5       x=-3


But let's suppose it was as you thought

You have this:

x%5E2-8x-15=0
x=%28-%28-8%29%2B-+sqrt%28%28-8%29%5E2-4%2A1%2A%28-15%29%29%29%2F%282%2A1%29
x=8%2B-+sqrt+%2864%2B60%29%2F%282%29
x=8%2B-+sqrt+%28124%29%2F%282%29
x=8%2B-+sqrt+%284%2A31%29%2F%282%29
x=%288%2B-+2sqrt%2831%29%29%2F%282%29

Then you'd factor 2 out of the top:

x=%282%284%2B-+sqrt%2831%29%29%29%2F%282%29

and then cancel the 2's

x=%28cross%282%29%284%2B-+sqrt%2831%29%29%29%2F%28cross%282%29%29

x=4%2B-+sqrt%2831%29

Edwin