What are the domain restrictions of the expression

Ответ:

tahmidtaj150

12.06.2020

Mathematics

x = -4.

Step-by-step explanation:

y^2-3y-40/y^2+9y+20

= ( y - 8)(y + 5) / (y + 5)(y + 4)

= (y - 8)/(y + 4)

So the restriction is when x +4 = 0

That is when x = -4.

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Ответ:

Tok

24.09.2022

Mathematics

$x^2+4x-8=0\\\\\underbrace{x^2+2x\times2+2^2}_{use:(a+b)^2=a^2+2ab+b^2}-2^2-8=0\\\\(x+2)^2-4-8=0\\\\(x+2)^2-12=0\\\\(x+2)^2=12\iff x+2=\sqrt{12}\ or\ x+2=-\sqrt{12}\\\\x=\sqrt{4\times3}-2\ or\ x=-\sqrt{4\times3}-2\\\\x=\sqrt4\times\sqrt3-2\ or\ x=-\sqrt4\times\sqrt3-2\\\\\center\boxed{x=2\sqrt3-2\ or\ x=-2\sqrt3-2}$

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What are the domain restrictions of the expression y^2-3y-40/y^2+9y+20

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