# Algebra

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Solve the equation. Check all proposed solutions. Show work in solving and in checking.

Root3-x = x-1

• Algebra -

sqrt(3-x) = x-1.

Start by squaring both sides.

3 - x = x^2 - 2x + 1
0 = x^2 - x - 2

Factor the equation:
0 = (x-2)(x+1)

So x = 2 or x = 1

• Algebra -

you made a mistake it is x=2 or x=1 its x=2 or x=-1

• Algebra -

I am still confused. Can someone please explain further and break this problem down cause I have 5 more like this one to do. Thank you!

• But......Algebra -

from Marth's last line
So x = 2 or x = 1 ...
that should have said
So x = 2 or x = -1

Since he squared both sides, all answers must be verified.

if x=2
LS = √(3-2) = √1 = 1
RS = 2-1 = 1 OK

if x = -1
LS = √(3+1) = √4 = 2
RS = -1 - 1 = -2
so LS is not equal to RS

so the only solution is x = 2

• Algebra -

2 or 1 or

2 or -1?

annaiiz ceballos said

it is x=2 or x=1 its x=2 or x=-1

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