Question

find discriminant quadratic equation x^2-7x-18=0 and hence find the nature of the roots​

Answer 1

Answer:

b^2-4ac is the formula for finding discriminant

Answer 2

The discriminant of the given equation is 121

and the roots are two different real numbers

Given:

Quadratic equation x²-7x-18=0

To find:

The discriminant and the nature of the roots​

Solution:
Given Quadratic equation x² - 7x - 18=0  

The formula for discriminant of a equation ax² + bx + c = 0 is given by

                        D = b² − 4ac

Compare given equation with ax² + bx + c = 0

⇒ a = 1, b = -7 and c = -18

⇒ Discriminant = (-7)² − 4(1)(-18) = 49 + 72 = 121

Therefore, the discriminant = 121

Here, the discriminant of equation is a positive number which denotes that the quadratic has two different real number solutions.  

The discriminant of the given equation is 121

and the roots are two different real numbers.

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