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2 answers:
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Answer:
The solutions are ,
If you need to have them in a decimal form rounded to 3 decimals, the answers would be ,
Step-by-step explanation:
We are given the equation
The first thing that can be done is to rearrange the terms so that they are in descending order of power. This makes it easier to work with
This gives us
To find the solutions to this equation, we can use the quadratic formula, which will tell us that the solutions are equal to
From our equation, we can gather that
Now that we have our variables, we can plug them into the quadratic formula to get our solutions.
And now for our second equation
Answer:
We need to find the lowest common divisor which is the smallest possible number that is dividable by ALL numbers.
We have the following numbers:
For the denominators (3, 3, 5, 5) the least common multiple (LCM) is 15.
LCM(3, 3, 5, 5) . Therefore, the least common denominator (LCD) is 15.
Rewriting the original inputs as equivalent fractions with the LCD:
125/15, 300/15, 75/15, 180/15