Question

x^2 - 8x + 16 = 0
**For each equation , evaluate the discriminant & determine the nature of the solutions. Then solve each equation using the quadratic formula to verify the nature of the roots

Answer 1

\[a x^2+b x+c=0\]
\[discriminant~ D=b^2-4 ac\]
if D>0,roots are real
\[if D \ge 0~ and~ a~ perfect \square,roots~are~real~rational~and~different.\]
if D=0,roots are real and equal.
if D<0,roots are imaginary.