Question

(1) Find the value of b2 - 4ac, if a =2, b= -8, c=5.​

Answer 1

The value of discriminant $\bf b^2-4ac$ is 24.

Given:

• a =2, b= -8, c=5.

To find:

• Find the value of b²-4ac.

Solution:

Put the values of a,b and c in discriminant.

$D=(-8)^2-4(2)(5)$

or

$D=64-40$

or

$\bf D=24$

Thus,

Value of discriminant is 24.

Extra information:

We can find nature of roots of quadratic equation on the basis of discriminant.

here D>0

Thus,

We can say that roots of quadratic equation are real and distinct.

_______________________________

Learn more:

1) Explain the benefits of evaluating the discriminant of a quadratic equation before attempting to solve it. What does its...

https://brainly.in/question/5484009

2) Find the value of k for which the following quadratic equation has equal roots x² -2x(1+3k) + 7(3+2k)

https://brainly.in/question/19409677

Answer 2

Answer:

If a =2, b= -8, c=5 then b² - 4ac is 24.

Step-by-step explanation:

Given: a = 2, b = -8 and c = 5

Find $b^2 - 4ac$

Put value in b² - 4ac

= (-8)² - 4 (2)(5)

Square of negative number is always positive.

= 64 - 8 (5)

= 64 - 40

= 24

So, value of b² - 4ac is 24.