Question

What are the solutions to the quadratic equation x^2-16=0

Answer 1

Good evening.


This is a incomplete quadratic equation, because it does not have the term bx. Therefore, we can solve this faster with the following strategy:


`\mathsf{x^2 - 16 = 0}`

Add 16 to both sides:


`\mathsf{x^2 - 16 + 16 = 0 + 16}\\ \\ \mathsf{x^2 = 16}`

Take the square root:


`\mathsf{\sqrt {x^2} = \pm√(16)}\\ \\ \mathsf{\boxed{\mathsf{x = \pm4} }}`

Therefore:


`\boxed{\boxed{\mathsf{S=\{-4, \ +4\}}}}`