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# Algebra/discriminants

Question
A) find the value of the discriminant
B) describe the number and type of roots

-3x^2-7x+2=6

Since a = -3, b = -7, and c = 2-6 = -4, they are all negative.
This gives a = -3, b = -7, and c = -4.
That is from the equation -3x² -7x - 4 = 0.

The discriminant is b² - 4ac. These values make it 49 - 48 = 1.
This makes the two factors be (7±1)/-6.

That gives 8/-6 and 6/-6, and these reduce to -4/3 and -1.

Looking at (x + 4/3)(x + 1) gives x² + 7x/3 + 4/3.
Multiplying by -3 gives -3x² - 7x - 4, which is what we started with.

Thus, it can be said there are two distinct real roots.

Algebra

Volunteer

#### Scott A Wilson

##### Expertise

Any algebraic question you've got. That includes question that are linear, quadratic, exponential, etc.

##### Experience

I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

Publications
Documents at Boeing in assistance on the manufacturiing floor.

Education/Credentials
MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

Awards and Honors
Both my BS and MS degrees were given with honors.

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Students in a wide variety of areas since the 80's; over 1,000 of them have been in algebra.