solve the equation x^2 + v(x-3)^2 = (x-1)^2

Question

solve the equation x² + √(x-3)² = (x-1)^2

*the root in √(x-3)²   is for the whole (x-3)^2*

Answer 1

x² + √(x-3)² = (x-1)²

 

x²+x-3 = x²-2x+1

 

x-3 = -2x+1

 

  3x=4

 

   x = 4/3

 

Checking the result, we see that 4/3 does not satisfy the given equation.  So, there is NO SOLUTION!

Answer 2

Amber, if you take the square root of a base squared, you get the base.

 

x² + x - 3 = (x - 1)²

x² + x - 3 = x² - 2x + 1

3x = 4

x = 4/3

 

Boom.