Solve the following quadratic equation.

x^2−98=0Enter multiple answers separated by a comma or enter NoneNone​ if there are no real solutions.

The given quadratic equation is:

\[
x^2 - 98 = 0
\]

To solve for \( x \), add 98 to both sides:

\[
x^2 = 98
\]

Now, take the square root of both sides:

\[
x = \pm \sqrt{98}
\]

Simplify \(\sqrt{98}\):

\[
\sqrt{98} = \sqrt{49 \times 2} = \sqrt{49} \times \sqrt{2} = 7\sqrt{2}
\]

Thus, the solutions are:

\[
x = 7\sqrt{2}, -7\sqrt{2}
\]

So, the solutions are:

\[
x = 7\sqrt{2}, -7\sqrt{2}
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. Solve the equation \(x^2 - 50 = 0\).
2. What are the solutions to the equation \(x^2 - 72 = 0\)?
3. Solve \(x^2 - 100 = 0\) and simplify the answers.
4. What are the roots of the quadratic equation \(x^2 - 25 = 0\)?
5. Solve the equation \(x^2 - 200 = 0\) and express the solutions in simplest radical form.

**Tip:** When solving quadratic equations, always check if the equation can be factored or simplified to make the calculations easier.

Learn how to solve the quadratic equation x^2 - 98 = 0 with a detailed step-by-step solution. This problem involves finding the roots using the quadratic formula and simplifying square roots. Suitable for students in Grades 10-12.

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