SOLUTION: Find a number so that the square of the number is 28 more than three times the number. Thank you

Algebra.Com
Question 292167: Find a number so that the square of the number is 28 more than three times the number. Thank you
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Let n = the required number, then:
Rearrange into the standard form for a quadratic equation.
Factor this quadratic equation.
Apply the "zero product" rule.
or so that...
or
So there are two answers to this problem. Let's check them both:
Substitute n = -4.


OK for n = -3.
Substitute n = 7.


OK for n = 7.

RELATED QUESTIONS

Twelve more than a square of a number is 7 times the number. find the number. Thank... (answered by fractalier)
find a number such that three more than twice the number is 57? thank you (answered by Alan3354)
The square of a positive number is four more than three times the positive number. Find... (answered by stanbon,checkley75)
The square of a negative number is fifty-four more than three times the negative number.... (answered by MathLover1)
The square of a negative number is fifty-four more than three times the negative number.... (answered by josmiceli)
A number subtracted from 28 is equal to four more than three times a number. Find the... (answered by ptaylor)
Three times the square of a number is two more than five times the number (answered by mananth)
The sum of three numbers is 137. The second number is 4 more that two times the first... (answered by checkley71)
3 times a number is 28 less than the square of that number. Find the positive... (answered by MathLover1)