Question

State the value of the discriminant for

y =
`5x^2+9x-3`

Answer 1

141, meaning that there will be two real solutions

Explanation:

The discriminant of a quadratic is
`b^2-4ac`, which in this case is:

`9^2-4(5)(-3)=81+60=141`

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.

Hope this helps!