Question

I need ALL possible answers! Please help ASAP!

Answer 1

Step-by-step explanation:

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Answer 2

$|x - \frac{1}{x} | = 18$

So :

$x - \frac{1}{x} = 18 \: \: \: or \: \: \: x - \frac{1}{x} = - 18$

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If

$x - \frac{1}{x} = 18$

Multiply both sides by x

$x \times (x - \frac{1}{x} ) = x \times 18$

${x}^{2} - 1 = 18x$

Subtract both sides 18x

${x}^{2} - 1 - 18x = 18x - 18x$

${x}^{2} - 18x - 1 = 0$

Thus the possible values for x from this equation are :

$x = 9 + \sqrt{82}$

And

$x = 9 - \sqrt{82}$

_____________________________________________

If

$x - \frac{1}{x} = - 18$

Multiply both sides by x

$x \times (x - \frac{1}{x} ) = x \times - 18$

${x}^{2} - 1 = - 18x$

Add both sides 18x

${x}^{2} - 1 + 18x = - 18x + 18x$

${x}^{2} + 18x - 1 = 0$

And the possible values for x from the above equation are :

$x = - 9 + \sqrt{82}$

And

$x = - 9 - \sqrt{82}$

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Finally the possible answers would be :

$x = 9 + \sqrt{82}$

$x = 9 - \sqrt{82}$

$x = - 9 + \sqrt{82}$

$x = - 9 - \sqrt{82}$

There you go...

Have a great day ❤