Math, asked by ananyasharma001234, 10 months ago

If a and b are the zeroes of the polynomial 5x²-12x-3, the what is the value of [1/a+1/b]
a) -4. b) -3
c) 3. d) 4​

Answers

Answered by Magicianofmaths25
4

Answer:

a

Step-by-step explanation:

Here's the solution for the given problem and please mark it as brainliest

Attachments:
Answered by BrainlyPopularman
38

GIVEN :

a and b are the zeroes of the polynomial 5x² - 12x - 3 = 0 .

TO FIND :

• Value of (1/a) + (1/b) = ?

SOLUTION :

▪︎We know that –

Sum of roots = -(coffieciant of 'x')/(coffieciant of x² )

=> a + b = -(12)/5

=> a + b = - 12/5

Product of roots = (constant term)/(coffieciant of x²)

=> (a)(b) = -(⅗)

=> a.b = - (⅗)

▪︎ Now Let's find –

= (1/a) + (1/b)

= (a + b)/(a.b)

= [-(12/5)]/(3/5)

= - (12/3)

= -4

▪︎ Hence , Value of (1/a) + (1/b) = -4

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