Question

I need to solving 9-49x²=0

Answer 1

`S=\lbrace-(3)/(7),\:(3)/(7)\rbrace`

1) Let's start out by rewriting that into the standard form then solve for x this incomplete quadratic equation:

`\begin{gathered} -49x^2+9=0 \\ -49x^2+9-9=0-9 \\ -49x^2=-9 \\ (-49x^2)/(-49)=(-9)/(-49) \\ x^2=(9)/(49) \\ x=\sqrt{(9)/(49)},\:x=-\sqrt{(9)/(49)} \\ x=(3)/(7),\:x=-(3)/(7) \end{gathered}`

Note that there are two roots.