![madisonruh](/avatars/47832.jpg)
madisonruh
03.03.2020 •
Mathematics
The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
Solved
Show answers
More tips
- F Family and Home When and how to start introducing solid foods to your baby?...
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
- F Food and Cooking Homemade French Fries: The Ultimate Guide...
- F Food and Cooking Red Caviar: How to Choose the Best?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics Help me please! it’s due monday:)...
- C Chemistry Which of the following will cause an increase in the weight of an object? a: increase in the gravitational pull b: decrease in the gravitational pull c: increase in the temperature...
- E English PLEASE HELP I WILL GIVE BRAINIEST IM GONNS DIE...
- M Mathematics Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. how much interest did he pay in 6 years? in 6 years, joe pays $ in interest....
- S Social Studies What are TWO reasons why The Tale of Genji is a cultural and historical treasure?...
Ответ:
The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Ответ: