3 years ago

Y= 6 + 2x

Mathematics

1 answer:

Rainbow [258]3 years ago

3 0

There is no solution

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Answer:

The inverse of $2(x - 2)^2 = 8(7 + y)$ is $y=\sqrt{(4x+28)}+2$

Step-by-step explanation:

Given equation : $2(x - 2)^2 = 8(7 + y)$

$\Rightarrow \frac{2(x-2)^2}{8}=7+y\\\Rightarrow \frac{2(x-2)^2}{8}-7=y$

Replace x with y and y with x

So, $\Rightarrow \frac{2(y-2)^2}{8}-7=x\\\Rightarrow \frac{2(y-2)^2}{8}=x+7\\\Rightarrow 2(y-2)^2=8(x+7)\\\Rightarrow (y-2)^2=4(x+7)\\\Rightarrow (y-2)=\sqrt{4(x+7)}\\\Rightarrow y=\sqrt{4(x+7)}+2\\\Rightarrow y=\sqrt{4x+28)}+2$

So, Option C is correct

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