SOLUTION: the difference of nine more than 3 times a number and the square of one -third of the number is negative eight

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Question 940650: the difference of nine more than 3 times a number and the square of one -third of the number is negative eight
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!


Multiply both sides by 9
Add 72 to each side

Multiply by -1 and rearrange
Solve the quadratic
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=1341 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 31.8098334236006, -4.80983342360055. Here's your graph:

(n-31.8)(n+4.8)=0
n=31.8, -4.8098
CHECK:
Solution 1:

(((114.4-112.36)=-8
2.04=-8 FALSE. Not a solution
Solution 2:




-7.999=-8 This is the solution
The number is =-4.8098
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