Question

- dl. If the discriminant of the quadratic
- equation 6x² - bx +2=0 is 1 then
findb.​

Answer 1

Answer:

b = ±7

Solution:

We know that ,

The discriminant of the quadratic equation Ax² + Bx + C is given by ;

D = B² - 4•A•C

Here,

The given quadratic equation is ;

6x² - bx + 2 = 0

Clearly ,

A = 6

B = -b

C = 2

Thus,

The discriminant of the given quadratic equation will be given as ;

=> D = B² - 4A•C

=> D = (-b)² - 4•6•2

=> D = b² - 48

=> 1 = b² - 48 { given : D = 1 }

=> b² = 1 + 48

=> b² = 49

=> b = √49

=> b = ±7

Hence,

The required values of b are ± 7 .