помогите выделить полный квадрат 4х^2+31х+4у^2-43у+143. Created by Поросенко. matematika-ru

помогите выделить полный квадрат 4х^2+31х+4у^2-43у+143...

Поросенко @Поросенко

July 2022 2 3 Report

помогите выделить полный квадрат

4х^2+31х+4у^2-43у+143

Tanda80

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Решение на фотографии.

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NNNLLL54

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$4x^2+31x+4y^2-43y+143=4\cdot (x^2+\frac{31}{4}x)+4\cdot (y^2-\frac{43}{4}y)+143=\\\\=4\cdot \Big ((x+\frac{31}{8})^2-(\frac{31}{8})^2\Big )+4\cdot \Big ((y-\frac{43}{8})^2-(\frac{43}{8})^2\Big )+143=\\\\=4\cdot (x+\frac{31}{8})^2-\frac{961}{16}+4\cdot (y-\frac{43}{8})^2-\frac{1849}{16}+143=\\\\=4\cdot (x+\frac{31}{8})^2+4\cdot (y-\frac{43}{8})^2-\frac{522}{16}$

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eoowowo [tex] |2 - 3x| > 5[/tex]
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