Using a complete of square method for solving the equation of 13y rase to power of 2+14y-30=0

1 answer

or, using actual math,
13y^2 + 14y - 30 = 0
13(y^2 + 14/13 y) = 30
y^2 + 14/13 y = 30/13
y^2 + 14/13 y + (7/13)^2 = 30/13 + (7/13)^2
(y + 7/13)^2 = 439/169
y + 7/13 = ±√439/13
y = (-7 ±√439)/13

confirm with the quadratic formula.