Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best viewed in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (you should be able to scroll/swipe to see them) and some of the menu items will be cut off due to the narrow screen width.
Section 2.1 : Solutions and Solution Sets
3. Is \(t = - 3\) a solution to \({t^2} + 3t - 10 = 4 + 8t\)?
Show SolutionThere really isn’t all that much to do for these kinds of problems. All we need to do is plug the given number into both sides of the equation and check to see if the right and left side are the same value.
Here is that work for this particular problem.
\[\begin{align*}{\left( { - 3} \right)^2} + 3\left( { - 3} \right) - 10 & \mathop = \limits^? 4 + 8\left( { - 3} \right)\\ - 10 & = - 20\,\,\,\,{\mbox{NOT OK}}\end{align*}\]So, we can see that the right and left sides are the not the same and so we know that \(t = - 3\) is not a solution to the equation.