Question

The discriminant of the quadratic equation x2 - 15x + 50 = 0 will be​

Answer 1

Step-by-step explanation:

x^2-15x+50=0

here a=1,b= -15 and c=50

discriminant = b^2 - 4ac

= (-15)^2 - 4(1)(50)

= 225-200 = 25

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Answer 2

The discriminant of the quadratic equation x² - 15x + 50 = 0 is 25.

Given:

A quadratic equation x² - 15x + 50 = 0

To Find:

The discriminant of the quadratic equation x² - 15x + 50 = 0.

Solution:

To find the discriminant of the quadratic equation x2 - 15x + 50 = 0 we will follow the following steps:

As we know,

The quadratic equation has the maximum power of any variable is 2.

The discriminant of a quadratic equation is given by:

${b}^{2} - 4ac$

Here, b is -15, a is 1 and c is 50.

Now,

On putting the above values we get,

${ (- 15)}^{2} - 4 \times 1 \times 50$

$225 - 200 = 25$

Henceforth, the discriminant of the quadratic equation x² - 15x + 50 = 0 is 25.

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