In the quadratic equation \[x^2 + \left(k-\frac{1}{k}\right)x - 1 = 0,\]solve for $x$ in terms of $k$.

Step-by-step explanation:

We have the following quadratic equation:

Which is in the form:

And can be solved with the quadratic formula:

Where , ,

Knowing this, let's begin:

Factoring we have . hence:

Solving for both options:

a negative exponent is translated as follows:

so, we have

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total