Question:
What are the solutions to 3x^2 + 12x + 6 = 0?

Hint::
use the quadratic formula

Question

Question:  What are the solutions to 3x^2 + 12x + 6 = 0?   Hint::  use the quadratic formula

Verity · Answer

Answer:           x₁ = - 2 + √2 ,   x₂ = - 2 - √2    Step-by-step explanation:   3x^2 + 12x + 6 = 0    a=3 ,,  b=12 ,,  c=6       x= dfrac{-b pm sqrt{b^2-4ac}}{2a}     x= dfrac{-12 pm sqrt{12^2-4 cdot3 cdot6}}{2 cdot3}= dfrac{-12 pm sqrt{144-72}}{2 cdot3}= dfrac{-12 pm sqrt{72}}{2 cdot3}= dfrac{-12 pm6 sqrt{2}}{6}    x_1= dfrac{6(-2+ sqrt{2})}{6}=-2+ sqrt2    x_2= dfrac{6(-2- sqrt{2})}{6}=-2- sqrt2

x₁ = – 2 + √2 , x₂ = – 2 – √2

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