Answer:
a-b= 5.5
Step-by-step explanation:
(2x−3)(x+4)=0
x=a and x=b , find out a-b
First we need to solve for x
(2x−3)(x+4)=0, Apply zero factor property and set each factor =0
2x-3=0
add 3 on both sides
2x=3
divide by 2 on both sides
x= 3/2
x+4=0 , subtract 4 from both sides
x= -4
[tex]x=a=\frac{3}{2}[/tex]
x=b=-4
a-b = [tex]\frac{3}{2}-(-4)= \frac{3}{2} +4 = \frac{3+8}{2} =5.5[/tex]