SOLUTION: I was wondering the idea of this kind of equation? i can't seem to wrap my head around it. The root symbol or whatever it is, is throwing me off - since it isn't just simply writte

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I was wondering the idea of this kind of equation? i can't seem to wrap my head around it. The root symbol or whatever it is, is throwing me off - since it isn't just simply writte      Log On


   



Question 764114: I was wondering the idea of this kind of equation? i can't seem to wrap my head around it. The root symbol or whatever it is, is throwing me off - since it isn't just simply written as x^2 or something. Could you maybe give me a somewhat simple example equation and label steps please?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I was wondering the idea of this kind of equation? i can't seem to wrap my head around it.
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What kind of equation?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
if you have equation like this:
x-2=sqrt%28x%2B10%29 ...to solve for x you need square both sides first in order to get rid of square root
%28x-2%29%5E2=%28sqrt%28x%2B10%29%29%5E2......now we can cancel root sign and power of 2 on right side
%28x-2%29%5E2=%28x%2B10%29
x%5E2-4x%2B4=x%2B10...now add -x-10 to both sides
x%5E2-4x%2B4-x-10=cross%28x%29%2Bcross%2810%29-cross%28x%29-cross%2810%29
x%5E2-4x%2B4-x-10=0
x%5E2-5x-6=0....now, we can use quadratic formula to solve for x
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ...as you can see, a=1, b=-5, and c=-6
x+=+%28-%28-5%29+%2B-+sqrt%28%28-5%29%5E2-4%2A1%2A%28-6%29+%29%29%2F%282%2A1%29+
x+=+%285+%2B-+sqrt%2825%2B24+%29%29%2F2+
x+=+%285+%2B-+sqrt%2849+%29%29%2F2+
x+=+%285+%2B-+7%29%2F2+
solutions:
x+=+%285+%2B+7%29%2F2+
x+=+12%2F2+
x+=+6+
or
x+=+%285-+7%29%2F2+
x+=+-2%2F2+
x+=+-1+
this means x-2 is equal to sqrt%28x%2B10%29 if x=6 and x=-1, and graphs intersecting at these points
now, we can see it on a graph: