Answer:
[tex]x = -7\sqrt{2}[/tex] and [tex]x =7\sqrt{2}[/tex]
Step-by-step explanation:
Given the quadratic equation:
[tex]98-x^2 = 0[/tex]
We can write this as:
[tex]x^2-98 = 0[/tex]
Add 98 to both sides we have;
[tex]x^2 = 98[/tex]
take square root both sides we have;
[tex]x = \pm \sqrt{98}[/tex]
⇒[tex]x = \pm\sqrt{7^2 \cdot 2} = \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]
