SOLUTION: The square of a positive number decreased by 10 is 2 more than 4 times the number. What is the number?
Trouble setting up.... any helpful sites that work with this type of ques
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Question 195935: The square of a positive number decreased by 10 is 2 more than 4 times the number. What is the number?
Trouble setting up.... any helpful sites that work with this type of question or one that can teach me? . Thanks.... frustrated mom:)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"The square of a positive number decreased by 10 is 2 more than 4 times the number" translates to
Start with the given equation.
Get all terms to the left side.
Combine like terms.
Notice we have a quadratic equation in the form of where , , and
Let's use the quadratic formula to solve for x
Start with the quadratic formula
Plug in , , and
Negate to get .
Square to get .
Multiply to get
Rewrite as
Add to to get
Multiply and to get .
Take the square root of to get .
or Break up the expression.
or Combine like terms.
or Simplify.
Since it is specified that the number is positive, this means that the only answer is
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