MATH III

Solving linear and nonlinear equations with absolut value

 

Linear

 

|2x-5|=11

-11=2x-5=11

5-11=2x=11+5

-6=2x=16

-3=x=8

 

Nonlinear

 

2|x^2 -x-18| -4 =20

2|x^2 -x-18| =24

 

x^2 -x-18=12

x^2 -x-30=0

(x-6)(x+5)=0

X1=6  X2=-5

 

x^2 -x-18=-12

x^2 -x-6=0

(x-3)(x+2)=0

X1=3  X2=-2

 

ALWAYS CHECK ALL ANSWERS