Question

What is the discriminant of the quadratic equation 2x^2-7x-3=0?

Answer 1

Answer:

73

Step-by-step explanation:

follow the given attachment for the steps of the sum

hope my answer has been helpful.

Answer 2

Given :

2x² - 7x - 3 = 0

To find :

Discriminant

Solution :

For quadratic equations given by ax² + bx + c = 0,

Discriminant is given by

D = b² - 4ac .

Also , if

• D < 0 , no real solution/ zeros of given equation
• D = 0 , Only one real solution/zeros of given Equation
• D > 0 , Two real and different real Solution/zeros of given equation

Now , comparing given quadratic equations ( 2x² - 7x - 3 = 0 ) , with General quadratic equations ( ax² + bx + c = 0 ), we get

• a = 2
• b = (-7)
• c = (-3)

Therefore,

D = (-7)² - (4)(2)(-3)

D = 49 - (-24)

D = 49 + 24

D = 73

[ Note - As D > 0 , this equation will have two real and different real Solution/zeros. ]

ANSWER :

Discriminant = 73