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

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Thu Thảo 3 years 2021-08-21T14:57:39+00:00 1 Answers 5 views 0

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    2021-08-21T14:59:13+00:00
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    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

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )