SOLUTION: If six times the square of a number is diminished by ten times the number, the result it 304. What is the number? what i tried to work out-- 6n2 -10n-304= 0 then i tried to u

Question 599889: If six times the square of a number is diminished by ten times the number, the result it 304. What is the number?
what i tried to work out--
6n2 -10n-304= 0
then i tried to use the quadratic equation, but im not sure if it is right..
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If six times the square of a number is diminished by ten times the number, the result it 304. What is the number?
what i tried to work out--
6n2 -10n-304= 0
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=7396 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 8, -6.33333333333333. Here's your graph:

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