Answer:
\(x = -7\sqrt{2}\) and \(x =7\sqrt{2}\)
Step-by-step explanation:
Given the quadratic equation:
\(98-x^2 = 0\)
We can write this as:
\(x^2-98 = 0\)
Add 98 to both sides we have;
\(x^2 = 98\)
take square root both sides we have;
\(x = \pm \sqrt{98}\)
⇒\(x = \pm\sqrt{7^2 \cdot 2} = \pm 7\sqrt{2}\)
Therefore, the solutions of the quadratic equation are \(x = -7\sqrt{2}\) and \(x =7\sqrt{2}\)
