# How do you use the discriminant to determine the nature of the solutions given # –3p^2 – p + 2 = 0#?

##### 1 Answer

Aug 26, 2016

As the discriminant is positive the nature of the solutions are such that the graph crosses the x-axis so

#### Explanation:

Standard for equation but with

where a = -3; b= -1; c=+2

Thus the discriminant

The nature if the solution is that the plot does cross the x-axis. So there are values of

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By the way. If the coefficient of

However, the coefficient is -3 thus negative. So the graph is of general shape