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iren2701 [21]
3 years ago
14

(5-x)(5+x)=(x-4)²-7 Helpp((

Mathematics
1 answer:
hoa [83]3 years ago
8 0
   
\displaystyle\\
(5-x)(5+x)=(x-4)^2-7\\\\
5^2 - x^2 = x^2-8x + 16 -7\\\\
-x^2 -x^2+8x + 25 -16+7=0\\\\
-2x^2 + 8x +16=0\\\\
x_{12}=  \frac{-b\pm  \sqrt{b^2-4ac} }{2a}= \frac{-8\pm \sqrt{64-4\cdot(-2)\cdot 16} }{2\cdot(-2)}=\\\\
 = \frac{-8\pm \sqrt{64+ 128} }{-4}= \frac{-8\pm \sqrt{192} }{-4}= \frac{-8\pm \sqrt{64\cdot 3} }{-4}=\\\\
=\frac{-8\pm 8\sqrt{ 3} }{-4}=2\mp 2\sqrt{ 3}\\\\
\boxed{\bf x_1 = 2-2\sqrt{ 3}}\\\\
\boxed{\bf x_2 = 2+2\sqrt{ 3}}



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