Calculate the discriminant of the quadratic expression
4x^2-x-3
discriminant is
b^2 - 4*a*c
where
a = numerical coefficient of x^2
b = numerical coefficient of x
c = the constant
in the problem, 4x^2-x-3, thus
a = 4, b = -1 and c = -3
substituting
(-1)^2 - 4(4)(-3)
1 - (16)(-3)
1 + 48
49
hope this helps~ :)
To calculate the discriminant of a quadratic expression, we need to use the formula:
Discriminant (D) = b^2 - 4ac
In the given quadratic expression 4x^2 - x - 3:
The coefficient of x^2, a = 4
The coefficient of x, b = -1
The constant term, c = -3
Now, substitute these values into the formula:
D = (-1)^2 - 4 * 4 * (-3)
Simplifying further:
D = 1 + 48
Therefore, the discriminant of the quadratic expression 4x^2 - x - 3 is 49.