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

Solution:

7x² – x = 7 [Given]

7x² - x - 7 = 0

The standard form of a quadratic equation ax² + bx + c = 0 is written as

x = [−b ± √(b² - 4ac)] / 2a

Comparing it with the given equation

a = 7

b = -1

c = -7

Substituting the values in the standard form

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

x = [1 ± √197] / 14

Therefore, the values of x are (1 + √197)/14 and (1 - √197)/14.

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

Summary:

Using the quadratic formula to solve 7x² – x = 7, the values of x are (1 + √197)/14 and (1 - √197)/14.