Question

find the discriminant of the quadratic equation

3x² + 7x + 4 = 0

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Answer 1

Step-by-step explanation:

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Answer 2

The discriminant of the quadratic equation 3x² + 7x + 4 = 0 is 1

Given :

The equation 3x² + 7x + 4 = 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

3x² + 7x + 4 = 0

Step 2 of 2 :

Find the discriminant

3x² + 7x + 4 = 0

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

a = 3 , b = 7 , c = 4

Hence discriminant of the quadratic equation

= b² - 4ac

$\sf = {( 7)}^{2} - 4 \times 3 \times 4$

$\sf = 49 - 48$

$\sf = 1$

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