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Answer:

Given the equation:

\(98-x^2 = 0\)

Subtract 98 from both sides we have;

\(-x^2 = -98\)

Multiply both sides by -1 we get;

\(x^2 = 98\)

Taking square root both sides we have;

\(x = \pm \sqrt{98}= \pm \sqrt{49 \cdot 2}\)

Simplify:

\(x = \pm 7\sqrt{2}\)

Therefore, the solutions of the quadratic equation are:

\(x = 7\sqrt{2}\) and \(x =-7\sqrt{2}\)