Question

2. If a and B are zeroes of the quadratic polynomial x? - 6x + a; find the value
of 'a' if 3a + 2B = 20.
​

Answer 1

Answer:

a = 6

Step-by-step explanation:

x^2 - 6x + a

by comparing polynomial by Ax^2 + Bx + C

Here A is 1

         B is -6

         C is a

also 3a +2b=20

since 'a' and 'b' are zeroes of polynomial

let α be 'a' and β be 'b'  

therefore

α * β = C/A

a * b = a/1

     b = 1

Put b in 3a + 2b = 20

3a + 2 = 20

3a = 18

a = 6