Question

Check Solve x^(2)=98, where x is a real number. simplify your answer as much as possible.

Answer 1

x² = 98

⇔ x = ± √98

⇔ x = ±√(49 × 2)

⇔ x = ±√(7² × 2)

⇔ x = ±7√2

Answer 2

Hello!

Answer:

`\Large \boxed{\sf x = \pm7 √(2)}`

Explanation:

→ We want to solve:

`\sf x^2=98`

◼ We know that if
`\sf x^2 = a`, then
`\sf x = \pm√(a)`:

`\sf x = \pm√(98)`

◼ Simplify the right side:

`\sf x = \pm√(49 * 2 )`

`\sf x = \pm√(7^2 * 2 )`

`\sf x = \pm(√(7^2 ) * √(2))`

`\sf x = \pm({7 * √(2))`

`\boxed{\sf x = \pm7 √(2)}`

Conclusion:

The solution of the equation x² = 98 is ±7√2.