Question 550094: Solve: x2-20x+100=0
Answer by mathstutor458(57)   (Show Source):
You can put this solution on YOUR website! x2-20x+100=0
=>x2-10x-10x+100=0
=>x(x-10)-10(x-10)=0
=>(x-10)(x-10)=0
=>x-10=0,x-10=0
=>x=10,10 -- answer
(or)
a^2-2ab+b^2=(a-b)^2 (formula)
since our equation is also in the same form
x^2-20x+100=x^2-2*x*10+10^2
=(x-10)^2
(x-10)^2=0 (from the given equation)
=> x-10=0,x-10=0
=>x=10,10
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