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Can anybody tell me the answer to this im so confused

Can anybody tell me the answer to this im so confused-example-1

1 Answer

1 vote
meh

ok so when have sqrt, try to square both sides

√(2x-1)=2+ √(x-4)
square both sides

2x-1=4+4 √(x-4)+x-4

2x-1=x+4 √(x-4)
mnus x both sides

x-1=4 √(x-4)
square oth sides
x^2-2x+1=16(x-4)
x^2-2x+1=16x-64
minus (16x-4) from both sides
x^2-18x+65=0
factor
(x-5)(x-13)=0
set each to zero
x-5=0
x=5

x-13=0
x=13

x=5 and 13

User Matt Warrick
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