Question

4v^2 + 8v + 5 = 10 What would I add to this equation to create a perfect square?

Answer 1

v₁ = 2.5; v₂ = 0.5.

Explanation:

4v² + 8v + 5 = 10

4v² + 8v + 5 - 10 = 10 - 10

4v² + 8v - 5 = 0

D = 8² - 4 · 4 · (-5) = 64 + 80 = 144

`v_(1) =(-8-√(144) )/(2 \cdot 4) =(-8-12 )/(8) =(-20)/(8) =-2.5\\\\v_(2) =(-8+√(144) )/(2 \cdot 4) =(-8+12 )/(8) =(4)/(8) =0.5\\\\`