Question

Help please ! ill give brainliest if correct

Answer 1

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Answer:

  a) (-5±√10)/3 ≈ {-2.721, -0.613}

  b) (6±√21)/5 ≈ {0.283, 2.117}

Step-by-step explanation:

a) The relevant coefficients are ...

  a = 3, b = 10, c = 5

  $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot5}}{2\cdot3}=\dfrac{-10\pm\sqrt{40}}{6}\\\\\boxed{x=\dfrac{-5\pm\sqrt{10}}{3}\approx\{-2.721, -0.613\}}$

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b) The relevant coefficients are ...

  a = 5, b = -12, c = 3

  $x=\dfrac{-(-12)\pm\sqrt{(-12)^2-4\cdot5\cdot3}}{2\cdot5}=\dfrac{12\pm\sqrt{84}}{10}\\\\\boxed{x=\dfrac{6\pm\sqrt{21}}{5}\approx\{0.283, 2.117\}}$