SOLUTION: Simplify the expression... sqrt -(x^2-10x+25) that's the square root of x^2 minus 10x plus 25. with the a negitive symbol on the outside of the square root sign. I think i

Algebra ->  Rational-functions -> SOLUTION: Simplify the expression... sqrt -(x^2-10x+25) that's the square root of x^2 minus 10x plus 25. with the a negitive symbol on the outside of the square root sign. I think i      Log On


   

Question 33559: Simplify the expression...

sqrt -(x^2-10x+25)
that's the square root of x^2 minus 10x plus 25. with the a negitive symbol on the outside of the square root sign. I think i need to factor this but i dont think i did it right... please help
Answer by priya(51) About Me  (Show Source):
You can put this solution on YOUR website!
SO THE NEGATIVE SIGN IS ON THE OUTSIDE OF THE SQRT.
then the expression is -sqrt(x^2-10x+25)
first try to simplify the expression inside the rt.

x^2-10x+25
there is a simple procedure to find the values of x and is given below
(factorise 25 and find 2 values of x,such that the product of
the 2 values gives u 25 and the sum of the values are -10,if u cannot do that u have to follow this formula x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+)
but in this case u get values as -5 and -5,when u multiply they give u 25 and when u add them,they give u -10.
so this is written as
(x-5) and (x-5) ,put this value in the expression in the place of
x^2-10x+25.
therefore we get, - sqrt((x-5)(x-5))
the answer is -(x-5) (because sqrt(a^2)=a,here sqrt((x-5)^2)=(x-5))
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PRIYA