# What are the zero(s) #3x^2-7x+12=0#?

##### 1 Answer

#### Explanation:

For a parabolic equation in the form

the discriminant

indicates the number of zeros for the equation.

Specifically, in this case when

there are no solutions (i.e. no zeros)

For the given equation, you can see in the graph below that expression

graph{3*x^2-7*x+12 [-13.75, 26.8, -2.68, 17.59]}

The discriminant is part of the quadratic formula which gives the solutions for equations of this type:

as you can see if the discriminant is zero then the solution would require the square root of a negative number

and the square root of a negative number does not exist as a Real value.