Answer:
v₁ = 2.5; v₂ = 0.5.
Step-by-step explanation:
4v² + 8v + 5 = 10
4v² + 8v + 5 - 10 = 10 - 10
4v² + 8v - 5 = 0
D = 8² - 4 · 4 · (-5) = 64 + 80 = 144
[tex]v_{1} =\dfrac{-8-\sqrt{144} }{2 \cdot 4} =\dfrac{-8-12 }{8} =\dfrac{-20}{8} =-2.5\\\\v_{2} =\dfrac{-8+\sqrt{144} }{2 \cdot 4} =\dfrac{-8+12 }{8} =\dfrac{4}{8} =0.5\\\\[/tex]
