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Answer:

Given the equation:

[tex]98-x^2 = 0[/tex]

Subtract 98 from both sides we have;

[tex]-x^2 = -98[/tex]

Multiply both sides by -1 we get;

[tex]x^2 = 98[/tex]

Taking square root both sides we have;

[tex]x = \pm \sqrt{98}= \pm \sqrt{49 \cdot 2}[/tex]

Simplify:

[tex]x = \pm 7\sqrt{2}[/tex]

Therefore, the solutions of the quadratic equation are:

[tex]x = 7\sqrt{2}[/tex] and [tex]x =-7\sqrt{2}[/tex]