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

Solution:

A quadratic equation is represented as ax² + bx + c = 0 where a ≠ 0. The degree of a quadratic equation is equal to 2.

A discriminant of a quadratic equation is a function of the coefficients of the polynomials.

The discriminant is denoted as 'D' and is given as,

D = b² - 4ac

Given equation is x² + 5 x + 4 = 0.

Where,

a = coefficient of x², b = coefficient of x and c = constant term.

Thus, a = 1, b = 5, c = 4

D = (5)² - [4 × 1 × ( 4 )] 

= 25 - 4 × ( 4) 

= 25 - 16

= 9

We can also use the online discriminant calculator to calculate the discriminant.

Thus, the value of  b² - 4ac that satisfies the equation x² + 5 x + 4 = 0 is 9.

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

Summary:

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