Answer:
6 or -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
- [tex]v^2 = 12^2 + 2(-3)(18)[/tex]
- [tex]v^2 = 144 + (-6)(18)[/tex]
- [tex]v^2 = 144- 108[/tex]
- [tex]v^2 = 36[/tex]
Step 2: Take square root of both sides.
- [tex]\sqrt{v^2} =[/tex] ± [tex]\sqrt{36}[/tex]
- [tex]v =[/tex] ± [tex]\sqrt{36}[/tex]
- [tex]v = 6[/tex] or [tex]-6[/tex]
Therefore, the answer is 6 or -6.
