SOLUTION: (s+1/4)(s+1/5) Multiply for an answer

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Question 330925: (s+1/4)(s+1/5) Multiply for an answer
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Use the FOIL Method,



Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
...we can write it as

first find common denominator; for and it is , so multiply both sides by




...simplify (divide both side by )

now solve quadratic equation to find value of which will be represent as an in following part:
Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:


Starting with the general quadratic





the general solution using the quadratic equation is:







So lets solve ( notice , , and )





Plug in a=40, b=18, and c=2




Square 18 to get 324




Multiply to get




Combine like terms in the radicand (everything under the square root)




Simplify the square root (note: If you need help with simplifying the square root, check out this solver)




Multiply 2 and 40 to get 80


So now the expression breaks down into two parts


or


Lets look at the first part:





Add the terms in the numerator

Divide


So one answer is






Now lets look at the second part:





Subtract the terms in the numerator

Divide


So another answer is


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