Solve for x. 10x^2=29x-21 does anyone know this

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22-06-2014
Mathematics

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Solve for x. 10x^2=29x-21 does anyone know this

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konrad509 konrad509 · Answer 1 · 2014-06-22T17:30:59-04:00

konrad509 konrad509

22-06-2014

$10x^2=29x-21 \\ 10x^2-29x+21=0\\ \Delta=(-29)^2-4\cdot10\cdot21=841-840=1\\ \sqrt{\Delta}=\sqrt1=1\\ x_1=\frac{-(-29)-1}{2\cdot10}=\frac{28}{20}=\frac{7}{5}\\ x_2=\frac{-(-29)+1}{2\cdot10}=\frac{30}{20}=\frac{3}{2}\\$

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