Solve the equation:
y(y - 49) = -7
y^2 - 49y = -7
y^2 - 49y + 7 = 0
Quadratic equation : a = 1; b = - 49; c = 7.
Delta = b^2 - 4ac
Delta = (-49)^2 - 4 * 1 * 7
Delta = 2401 - 28
Delta = 2373
y = [ -b +- sqrt(Delta) ] / (2a)
y = [ -(-49) +- sqrt(2373) ] / (2 * 1)
y = [ 49 +- sqrt(2373) ] / 2
y = [ 49 - sqrt(2373) ] / 2 or y = [ 49 + sqrt(2373) ] / 2
Solution set:
S = { [ 49 - sqrt(2373) ] / 2; [ 49 + sqrt(2373) ] / 2 }
I hope this helps. =)
