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how do we solve: sqrt(x^2-10x+25)=4 ?

 Nov 19, 2015

Best Answer 

 #1
avatar+26403 
+15

how do we solve: sqrt(x^2-10x+25)=4 ?

 

\(x^2-10x+25 = (x-5)^2\)

 

\(\begin{array}{rcll} \sqrt{x^2-10x+25} &=& 4 \\ \sqrt{(x-5)^2} &=& 4 \\ x-5 &=& 4\\ x &=& 4+5\\ x &=& 9 \end{array}\)

laugh

 Nov 19, 2015
 #1
avatar+26403 
+15
Best Answer

how do we solve: sqrt(x^2-10x+25)=4 ?

 

\(x^2-10x+25 = (x-5)^2\)

 

\(\begin{array}{rcll} \sqrt{x^2-10x+25} &=& 4 \\ \sqrt{(x-5)^2} &=& 4 \\ x-5 &=& 4\\ x &=& 4+5\\ x &=& 9 \end{array}\)

laugh

heureka Nov 19, 2015

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