Question

find the discriminant of x^2-4x-5=0​

Answer 1

Answer:

D=36

Step-by-step explanation:

It has real and distinct roots

Answer 2

The discriminant of x² - 4x - 5 = 0 is 36

Given :

The equation x² - 4x - 5 = 0

To find :

The discriminant of the equation

Concept :

General form of a quadratic equation is

ax² + bx + c = 0

The Discriminant of the quadratic equation is denoted by D and defined as

D = b² - 4ac

Solution :

Step 1 of 2 :

Write down the given Quadratic equation

Here the given Quadratic equation is

x² - 4x - 5 = 0

Step 2 of 2 :

Find the discriminant

x² - 4x - 5 = 0

Comparing with the general equation ax² + bx + c = 0 we get

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

Hence discriminant of the quadratic equation

= b² - 4ac

$\sf = {( - 4)}^{2} - 4 \times 1 \times ( - 5)$

$\sf = 16 + 20$

$\sf = 36$

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