# Using the quadratic formula to solve 7x^{2} - x = 7, what are the values of x?

Quadratic equations are second-degree algebraic expressions and are of the form ax^{2} + bx + c = 0.

### Answer: Using the quadratic formula to solve 7x^{2} - x = 7, the values of x are (1 + √197)/14 and (1 - √197)/14.

Let's look into the solution below.

**Explanation:**

Given: A quadratic equation, 7x^{2} - x = 7

In standard form, 7x^{2} - x = 7 is expressed as 7x^{2} - x - 7 = 0

a = 7, b = -1, c = -7

We will be using the quadratic formula to calculate the value of x.

x = [−b ± √(b^{2} - 4ac)] / 2a

Substituting the values of a, b and c we get,

x = [-(-1) ± √{(-1)^{2} − 4 × 7 × (-7)}] / (2 × 7)

x = [1 ± √197] / 14

Thus, the two values of x are:

x = (1 + √197)/14 and x = (1 - √197)/14

We can also use Cuemath's Online Quadratic Equation Calculator to find the roots of an equation.