How do you find product of the 2 solutions to the quadratic equation #x^2+x+7=0#, and then find the quotient?
1 Answer
Apr 14, 2015
x^2 + x + 7. There are no real roots since D = b^2 - 4ac = -27 < 0.
Two complex roots. Product x1x2 = c = 7.
x1 = -1/2 + (3sqr.3i)/2
x2 = -1/2 - (3sqr.3i)/2
Check if product x1x2 = c = 7 ?
Product x1x2 = 1/4[1 - (-93)] = 28/4 = 14/2 = 7 (correct)
Quotient: x1/x2 = (-1 + 3sqr.3i)/(-1 - 3sqr.3i)
