What is the Value of b² - 4ac for the following Equation? x² + 5x + 4 = 0

Solution:

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.

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What is the Value Of b² - 4ac for the following Equation? x² + 5x + 4 = 0

Summary:

The value of b² - 4ac for the following equation x² + 5x + 4 = 0 is 9.