Question

Q9. If a and Bare the zeros of the polynomial

6y²- 7y +2 then the value of ​

Answer 1

Answer:

a= 2/3 , 1/2 B= 1/2 ,2/3

Step-by-step explanation:

a and B are zeros so

by formula

aB = 2/6=1/3

a+B= 7/6

by solving these equations we get

a= 2/3, when B = 1/2

a= 1/2 when B = 2/3

Answer 2

Correct Question:-

If α and β are the zeros of the polynomial 6y²-7y+2; find a quadratic polynomial whose zeroes are 1/α + 1/β

Solution:-

Let, p(y) = 6y²-7y+2

• α + β = -(-7/6) = 7/6
• αβ = 2/6 = 1/3

Now,

→ 1/α + 1/β = α+β/αβ = 7/6×⅓ = 7/2

→ 1/α × 1/β = 1/αβ = 1/⅓ = 3

→ y²-7/2 y+3 = ½(2y²-7y+6)