Squareroot 3x 2 Squareroot x 1 1 Solutionsquaring both s

Squareroot 3x - 2 = Squareroot x - 1 + 1

Solution

squaring both sides gives

3x-2=x-1+1+2sqrt{x-1}

2x-2=2sqrt{x-1}

x-1=sqrt{x-1}

x-1-sqrt{x-1}=0

sqrt{x-1}(sqrt{x-1}-1)=0

sqrt{x-1}=0 ie x=1

sqrt{x-1}=1

x=2