Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.

Equation #1 Equation #2

|2x − 3| = −17 |5x + 3| = 12

Equation #1 and Equation #2 have the same number of solutions.

Equation #1 has more solutions than equation #2.

Equation #1 has fewer solutions than equation #2.

None of the statements above describe the number of solutions to equations shown.

Question

Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.

Equation #1                      Equation #2
 
|2x − 3| = −17             |5x + 3| = 12
 


 Equation #1 and Equation #2 have the same number of solutions. 

 Equation #1 has more solutions than equation #2. 

 Equation #1 has fewer solutions than equation #2. 

 None of the statements above describe the number of solutions to equations shown.

anonymous · Answer

We can remove the modulus operator by squaring on both sides..
So eqn 1: (2x-3)^2 = 289 , solutions are x = -7,10 .
eqn 2 : (5x+3)^2 = 144, solutions are x= -3,1.8 .
So Equation #1 and Equation #2 have the same number of solutions.

anonymous · Answer

By the way the solutions can be got by solving the quadratic equations.

anonymous · Answer

thank you

anonymous · Answer

You're welcome.