November 14, 2018November 14, 2018evant2016

Pre Calc 11 – Week 10

This week in Pre Calc we were focusing on studying for our midterm, so I went back and revisited older concepts. Something I focused on was solving radical equations.

First, we should go clarify the difference between Equations and Expressions. This, $\sqrt{4}$ + $\sqrt{6}$ is an expression. And this $\sqrt{3}$ $= 4$ is an equation. It is an equation because it can be solved for x.

Let’s try this equation $5\sqrt{2x-8}$ $= 20$

First, we’ll simplify by dividing by 5 on each side. It’ll become $\sqrt{2x-8}$ $= 4$

then, to remove the root, we’ll square each side and get $2x-8$ latex = 16$

Now, we’ve got to a point that we can isolate x and solve. Move the 8 to the right and isolate the 2x. $2x$ latex = 24$

Now, all we have to do is divide by two, giving us $x=12$

Now we have the value of x, and we can verify it, to make sure it’s correct.

Just plug the X into our existing equation: $5\sqrt{2(12)+8}$ $= 20$

$5\sqrt{24-8}$ $= 20$

$5\sqrt{16}$ $= 20$

$20$ $= 20$

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