Lines y = -x+2 and y=x+1

Mathematics

1 answer:

nataly862011 [7]3 years ago

3 0

$\\ \sf\Rrightarrow y=-x+2$ (1)

$\\ \sf\Rrightarrow y=x+1$ (2)

Now

$\\ \sf\Rrightarrow -x+2=x+1$

$\\ \sf\Rrightarrow -2x=-1$

$\\ \sf\Rrightarrow x=0.5$

Put in eq(2)

$\\ \sf\Rrightarrow y=0.5+1$

$\\ \sf\Rrightarrow y=1.5$

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$8(x^2+\frac{13}{8}x+\frac{169}{256}) = 6 +\frac{169}{32} \\ \\ 8(x+\frac{13}{16} )^{2} =\frac{361}{32} \\ \\ (x+\frac{13}{16} )^{2} =\frac{361}{256}\\ \\ (x+\frac{13}{16} ) =(+/-)\sqrt{\frac{361}{256}} \\ \\ (x+\frac{13}{16} ) =(+/-)\frac{19}{16} \\ \\ x1=-\frac{13}{16} +\frac{19}{16} =\frac{6}{16}\\ \\ x2=-\frac{13}{16} -\frac{19}{16}=-2$