In solving \sqrt{2x-1}+2=x, why is it a good idea to isolate the radical t

postillan4

postillan4

Answered question

2021-09-21

In solving 2x1+2=x, why is it a good idea to isolate the radical term? What if we don’t do this and simply square each side? Describe what happens.

Answer & Explanation

escumantsu

escumantsu

Skilled2021-09-22Added 98 answers

Here solving 2x1+2=x
Here, 2x1+2=x
Begin by subtracting 2 from both sides in order to isolate the radical term.
Then square both sides to remove the binomial from the radical.
2x1+22=x2
2x1=x2
Squaring both side we both
(2x1)2=(x2)2
here we using (x)2=x and (ab)2=a2+b22ab
2x1=x2+(2)22(2)x
2x1=x2+44x
x2+44x2x+1=0
x26x+5=0
x2(5+1)x+5
x25xx+5=0
x(x5)1(x5)=0
(x5)(x1)=0
there is not a radical equation

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