Greeting math peeps and welcome to MathSux! In this post, we are going to go over 4 ways to Factor Trinomials and get the same answer, including, (1) Quadratic Formula (2) Product/Sum, (3) Completing the Square, and (4) Graphing on a Calculator. If you’re looking for more don’t forget to check out the video and practice questions below. Happy Calculating! 🙂
Also, if you want more Mathsux? Don’t forget to check out our Youtube channel and more below! If you have any questions, please don’t hesitate to comment below. Happy Calculating! 🙂
Hi everyone and welcome to Math Sux! In this post, we are going to look at how to use and applythe median of a trapezoid theorem. Thankfully, it is not a scary formula, and one we can easily master with a dose of algebra. The only hard part remaining, is remembering this thing! Take a look below to see a step by step tutorial on how to use the median of a trapezoid theorem and check out the practice questions at the end of this post to truly master the topic. Happy calculating! 🙂
*If you haven’t done so, check out the video that goes over this exact problem, also please don’t forget to subscribe!
Step 1: Let’s apply the Median of a Trapezoid Theorem to this question! A little rusty? No problem, check out the Theorem below.
Median of a Trapezoid Theorem: The median of a trapezoid is equal to the sum of both bases.Step 2: Now that we found the value of x , we can plug it back into the equation for median, to find the value of median
Want more practice? Your wish is my command! Check out the practice problems below:
Practice Questions:
1.is the median of trapezoid ABCDEF, find the value of the median, given the following:2. is the median of trapezoid ACTIVE, find the value of the median, given the following:3.is the median of trapezoid DRAGON, find the value of the median, given the following:
4. is the median of trapezoid MATRIX, find the value of the median, given the following:
Solutions:
Need more of an explanation? Check out the detailedvideoand practice problems. Happy calculating! 🙂
Want to learn the ins and out of completing the square? Then you’ve come to the right place! Learn how to Complete the Square step by step in the video and article below, then try the practice problems at the end of this post to truly master the topic! If you’re looking for more on completing the square, check out this post here. Happy Calculating! 🙂
Check out the video below for an in-depth look at completing the square:
To answer this question, there are several steps we must follow including:
Step 1: Move the whole number, which in this case is 16, to the other side of the equation.
Step 2: Make space for our new number on both sides of the equation. This number is going to be found by using a particular formula shown below:
Step 3: Add the number 9 to both sides of the equation, which we found using our formula.
Step 4: Combine like terms on the right side of the equation, adding 16+9 to get 25.
Step 5: Now, we need to re-write the left side of the equation using the following formula.
Step 6: Finally, we solve for x by taking the positive and negative square root to get the following answer and solve for two different equations:
Practice Questions:
Solutions:
Want more Mathsux? Don’t forget to check out our Youtube channel and more below! And if you have any questions, please don’t hesitate to comment below. Happy Calculating! 🙂
Need more of an explanation? Check out why we complete the square in the first place here ! 🙂
Today we’re back with Algebra 2, this time solving for radical equations! Did you say “RadicalEquations?” As in wild and crazy equations? No, not exactly, radicals in math are used to take the square root, cubed root, or whatever root of a number.
Example #1:
Radicals are actually pretty cool because we can write them a couple of different ways and they all mean the same thing! Check it out below:Still not sure of their coolness? Let’s see what they look like with actual numbers: Example: Solve the following algebraic equation below for the missing variable (aka, solve for x).Explanation:
How do I answer this question?
The question wants us to solve for x using our knowledge of radicals and algebra. You can also check out how to solve this question on Youtube here!
How do we do this?
Step 1: We start solving this radical equation like any other algebraic problem: by getting x alone. We can do this easily by subtracting 7 and then dividing out 5.
Step 2: Now, to get rid of that pesky radical, we need to square the entire radical. Remember, whatever we do to one side of the equation, we must also do to the other side of the equation, therefore, we also square 14 on the other side of the equal sign. *This gets rid of our radical and allows us to solve for x algebraically as normal!
What happens when there is a cubed root though!?!?
When dividing polynomials with different value roots, raise the entire radical to that same power of root to cancel it out:Remember, we know radicals can also be written as fractions:
Therefore we also know that if we raise the entire radical expression to the same power of the root, the two exponents will cancel each other out:
Example #2:
Want more practice? Try solving radical equations in the next few examples on your own.
Practice:
Solutions:
Looking to brush up on how to solve absolute value equations? Check out the post here! Did I miss anything? Don’t let any questions go unchecked and let me know in the comments! Happy calculating! 🙂
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