Question

the discriminant of quadratic equation√5x^2-7x+2√5 =0 is?​

Answer 1

Answer:

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Answer 2

The discriminant of √5x² - 7x + 2√5 = 0 is 9

Given :

The equation √5x² - 7x + 2√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

√5x² - 7x + 2√5 = 0

Step 2 of 2 :

Find the discriminant

√5x² - 7x + 2√5 = 0

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

a = √5 , b = - 7 , c = 2√5

Hence discriminant of the quadratic equation

= b² - 4ac

$\sf = {( - 7)}^{2} - 4 \times \sqrt{5} \times 2 \sqrt{5}$

$\sf = 49 - 40$

$\sf = 9$

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