Answer:
The roots are 0 and 1.5
Sum of the roots = 1.5
Product of the roots = 0
Step-by-step explanation:
Find the roots
[tex]2 {x}^{2} - 3x = 0 \\ x(2x - 3) = 0[/tex]
Equate
[tex]x = 0 \: \: \: | \: \: \: 2x - 3 = 0[/tex]
Solve for x(1)
[tex]x = 0[/tex]
Solve for x (2)
[tex]2x - 3 = 0 \\ 2x = 3 \\ \frac{2x}{2} = \frac{3}{2} \\ x = \frac{3}{2} \: or \: 1.5[/tex]
Solve for the SUM of the roots
[tex]0 + 1.5 = 1.5[/tex]
Solve for the PRODUCT of the roots
[tex]0 \times 1.5 = 0[/tex]
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