Question

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

sqrt3-x=x-1

Answer 1

Here is the problem

sqrt3-x=x-1

Answer 2

Is the left side of the equation
sqrt(3-x) or (sqrt3) - x?

If you meant
sqrt(3-x) = x-1, then, from squaring both sides,
3-x = x^2 -2x +1
x^2 -x -2 = 0
(x-2)(x+1) = 0
x = 2 or -1
The second value (-1) works if negative value of the square root are allowed.

Answer 3

The problem has no parenthases. it is as follows sqrt3-x=x-1. So do we put parenthases automatically around the (3-x)? Thanks!

Answer 4

Check out the thread by Kim with many posts.

That thread is very similar: symbols such as square roots or division with a numerator over a denominator separated with a bar have assumed parentheses. When writing in a single line, those parentheses must be included for clarity.