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

Question

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

Answer 1

Given equation, 7x² - x =7

 7x² - x - 7 = 0

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

Now, b² - 4ac

(-1)² – 4.7.(-7)

1+196

197

Therefore,

        - b  ±  √ b2-4ac
x = ———————
                      2a

       - (-1)  ±  √ 197
x = ——————--
                      2.7

       1  ±  √ 197
  x = —————
               14