Solve the Following quadratic equations by completing the square.

7x(squared)+4x-13=8

1 answer

7x^2 + 4x - 13 = 8

multiply by 7 to get a perfect square on the 2nd-degree term:

49x^2 + 28x = 147
49x^2 + 28x + 4 = 147 + 4
(7x+2)^2 = 151
7x = -2 ± √151

x = (-2 ± √151)/7