Question

√3x+1=x+1 how to do you solve this equation using step by step

Answer 1

Answer:

The solutions are x=0 and x=1

Step-by-step explanation:

Assuming your equation is

$\sqrt{3x + 1} = x + 1$

Square both sides to get:

$3x + 1 = ( {x + 1)}^{2}$

Expand the RHS,

$3x + 1 = {x}^{2} + 2x + 1$

Rewrite in standard quadratic form:

${x}^{2} + 2x - 3x + 1 - 1 = 0$

${x}^{2} - x = 0$

$x(x - 1) = 0$

x=0 or x=1