Question

Write the discriminant of quadratic equation ax2+bx+c=0

Answer 1

Answer:

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Answer 2

The discriminant of quadratic equation ax² + bx + c = 0 is D = b² - 4ac

Given : The quadratic equation ax² + bx + c = 0

To find : The discriminant of the quadratic equation

Solution :

Here the given equation is

ax² + bx + c = 0

Since the highest power of its variable that appears with nonzero coefficient is 2

So it is a quadratic equation

We find the roots by Sridhar Acharya formula as below

$\displaystyle \sf x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac } }{2a}$

Now b² - 4ac is called Discriminant of the quadratic equation and is denoted by D

Thus we can conclude that D = b² - 4ac is the discriminant of quadratic equation ax² + bx + c = 0

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