What is the simplified form of 4x^2-25 over 2x-5
2 answers:
Answer:
Option B
Step-by-step explanation:
We have to find the simplified form of the given expression
We will factorize the numerator first.
4x² - 25 = (2x)² - 5²
= (2x-5) (2x+5) [ since a² - b² = ( a+b ) ( a-b ) ]
Now we divide it by denominator (2x - 5)
= ( 2x+5 ) with restriction x ≠ 5/2
Option B is the answer.
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Then you can find a number that makes the part inside the parentheses turn into zero. For beginners, it may be easier to write it out seperately and solve for x.
We need to solve for x, so the first step is to add 4 to both sides, so we get something like this:
Then, we can square root both sides to get rid of the power on the x, so it looks like this:
Now, every square root has two answers, a positive and a negative. If we look at the bottom example:
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So finally, we get:
These are the other 'Zero's for the original function. If you are not sure of what a 'Zero' is, it is where the function crosses over the x-axis on a graph.