Home > CCA > Chapter 11 > Lesson 11.1.2 > Problem11-23

11-23.

How many solutions does each equation below have?

1.  $4x+3=3x+3$

Solve the equation. Is this a possible situation, an impossible situation, or a situation that is always true?

1 solution

1.  $3(x−4)−x=5+2x$

Simplify this equation before deciding how many solutions there are. Then see the help for part (a).

1.  $(5x−2)(x+4)=0$

How many different roots does this quadratic have?

2 solutions

1.  $x^2−4x+4=0$

Start by factoring this quadratic.