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1 vote

√(x+10)= x-2

Help? Has to be factored.

asked
User Cudds
by
8.7k points

1 Answer

3 votes
square both sides
x+10=x^2-4x+4
subtract x from both sides
10=x^2-5x+4
subtract 10 from both sides
0=x^2-3x-6
factor
what 2 numbers multiply to get -6 and add to get -5
the numbers are -6 and 1
so
(x-6)(x+1)=0
if xy=0 then assume x and y=0
so
x-6=0
x=6
x+1=0
x=-1


x=6 and/or-1
answered
User Techmagister
by
8.6k points

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