What is the discriminant of 3x2-10x=-2 ?

The discriminant of is 76

To find the discriminant of , we have to recall the quadratic formula.

The formula of the quadratic equation can be expressed as and discriminant also expressed as

Using the quadratic formula, the given question can be expressed as:

Where a = 3, b = -10, and c = 2

If we substitute the values, then the discriminant would be:

Recall the discriminant is

Therefore, we have

Thus, the discriminant of is 76.

Discriminant is very helpful in quadratic equation as it helps reveals the number of real solutions to a given quadratic equation. In other words, it helps you to solve quadratic equation.  

While discriminant only tells only reveals the number of real solutions, it doesn’t reveal what the solutions are. The determinant would only give you hint as regards the number of real solution to look for.

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for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c