Question

if 'a' and 'b' are
the zeroes of a
quadratic polynomial x^2-5x+6 and a-b=1, then the value of 'b' is​

Answer 1

Answer:

      2

Step-by-step explanation:

Solving the quadratic for its zeroes gives

x²-5x+6 = 0   ⇒   (x-2)(x-3) = 0   ⇒   x=2 or x=3

So the two zeros are 2 and 3.

That means that 'a' and 'b' are the numbers 2 and 3, in some order.

Since we are told that a-b = 1, it must be that a=3 and b=2.

Hope that helps

Answer 2

Answer:

2

Step-by-step explanation:

the zeroes of the polynomial are 3 and 2.

in a-b = 1 a is bigger. so

a=3 and b = 2

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