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Kupcak4erez
Kupcak4erez Kupcak4erez
  • 29-05-2016
  • Mathematics
Answered

Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth.

Verified Answer :

JoshEast
JoshEast JoshEast
  • 29-05-2016

\(3 x^{2} + x + 10 = 0\)
\(x = \frac{-b(+or-) \sqrt{ b^{2} - 4ac } }{2a}\)
\(x = \frac{-1(+or-) \sqrt{ 1^{2} - 4(3)(10) } }{2(3)}\)
: . x =  \frac{-1 +  \sqrt{-119} }{6}   OR   \(x = \frac{-1 - \sqrt{-119} }{6}\)

Thus the roots or the solutions to this equation are imaginary because the discriminant \(\sqrt{-119}\) is negative and a negative number is undefined when rooted.

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