SOLUTION: I need some help please: Solve the following equations: A) sqr(x+1)= 5- sqr(x-4) and B) sqr(x-2)=sqr(x+7)-1 and C) sqr(2n-1) + sqr(n-5) = 3 Please with explanation. Thanks

Question 4919: I need some help please: Solve the following equations: A) sqr(x+1)= 5- sqr(x-4) and B) sqr(x-2)=sqr(x+7)-1 and C) sqr(2n-1) + sqr(n-5) = 3
Please with explanation. Thanks
Answer by guapa(62) (Show Source): You can put this solution on YOUR website!
These radical equations you solve by using the following property of equality:
For all real numbers a and b, if a=b, then
A)
Now square both sides

Let's look at each side seperately since it becomes kind of messy.
=
For the right side:
= =
=
Thus we get:

Add x to and substract 21 from both sides

Divide both sides by -10
Again square both sides
Add 4 to both sides

For the next 2 you proceed the same pattern

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