1) 2x^2+5x=-2 2) 3х^2+8x=4...

July 2022 1 4 Report

1) 2x^2+5x=-2
2) 3х^2+8x=4

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$\displaystyle \textbf{1)}\\\\2x^2+5x=-2\\\\2x^2+5x+2=0\\\\x_{1,2}= \frac{-5\pm \sqrt{25-16} }{4}= \frac{-5\pm 3}{4}=(-2),\left(- \frac{1}{2} \right) \\\\\textbf{2)}\\\\3x^2+8x=4\\\\3x^2+8x-4=0\\\\x_{1,2}= \frac{-8\pm \sqrt{64+48} }{6}= \frac{-8\pm \sqrt{112 } }{6}= \frac{-8\pm 4 \sqrt{7} }{6} = \frac{-4\pm 2 \sqrt{7} }{3}$

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