Question

what are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2? - a = , b = 3, c = 2 - a = , b = –3, c = –2 - a = , b = 3, c = –2 - a = , b = –3, c = 2

Answer 1

`x^2-3x-2=0\\\\a=1;\ b=-3;\ c=-2\\\Delta=b^2-4ac\\\\\Delta=(-3)^2-4\cdot1\cdot(-2)=9+8=17 \ \textgreater \ 0\\\\then\\x_1=(-b-\sqrt\Delta)/(2a)\ and\ x_2=(-b+\sqrt\Delta)/(2a)\\\\x_1=(3-√(17))/(2\cdot1)=\boxed{(3-√(17))/(2)}\\\\x_2=(3+√(17))/(2\cdot1)=\boxed{(3+√(17))/(2)}`