Question

Solve using the square root property. x^(2)-98=0

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x = \pm 7√(2)}`

Explanation:

→ We want to solve this equation:

`\sf x^2-98=0`

◼ Add 98 to both sides:

`\sf x^2-98+98=0+98`

◼ Simplify both sides:

`\sf x^2=98`

◼ Square root property:

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

`\sf x= \pm√( 98)`

◼ Simplify the square root:

`\sf x= \pm√( 7^2 * 2)`

`\sf x= \pm(√( 7^2 )*√( 2) )`

`\sf x= \pm(7 * √( 2 ) )`

`\boxed{\sf x = \pm 7√(2)}`

So the solution of the equation
`\sf x^2-98=0` is
`\sf \pm 7√(2)`.