Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is .

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.



There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.