What is the Value of b2 - 4ac for the following Equation? x2 + 5x + 4 = 0
The discriminant of a polynomial is a function of its coefficients and is represented by capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.
It is represented as ‘D’
D = b2 - 4ac
Where a is the coefficient of x2
b is the coefficient of x
c is a constant term
x2 + 5x + 4 = 0 [Given]
Comparing the equation with the standard form.
a = 1, b = 5 and c = 4
Substituting it in the formula
D = 52 - 4 × 1 × 4
By further calculation
D = 25 - 16
D = 9 ⇒ The quadratic roots are real and distinct
Therefore, the value of b2 - 4ac is 9.
What is the Value Of b2 - 4ac for the following Equation? x2 + 5x + 4 = 0
The value of b2 - 4ac for the following equation x2 + 5x + 4 = 0 is 9.