The quadratic equation is .

Apply addition property of equality: If a = b then a c = b c.

          (Add to 50 each side)

                        (Apply additive inverse property: )

The equation compare to quadratic equation, then a = 2, b = 1 and c = 50.

The value of discriminant .

                         (Evaluate power: )

                                  (Multiply)

                                    (Subtract: )

Since the discriminant is negative, the equation has no real roots.

The equation has no real roots.