Question

Consider the equation x² = 9. Show that 3, -3, √9, and -√9 are each a solution to the equation.

Answer 1

see explanation

Explanation:

to show the given values for x are a solution to the equation.

substitute each value for x into the equation and if equal to 9 then they are a solution.

x = 3

x² = 3² = 9 ← solution

x = - 3

x² = (- 3)² = 9 ← solution

x =
`√(9)`

x² = (
`√(9)` )² = 9

x = -
`√(9)`

x² = (-
`√(9)` )² = 9 ← solution

noting that (
`√(a)` )² = a