Question

if a and b are the zeroes of polynomial f(x) = x^2-5x+k such that if a-b=1, find the value of know​

Answer 1

Step-by-step explanation:

we have the equation 6x

2

−x−2=0

divide the equation by 6

6

6

x

2

−

6

1

x−

6

2

=0

=x

2

−

6

1

x−

3

1

=0

as we know an equation is of form x

2

+(α+β)x+αβ where α and β are the roots of the equation

comparing the equation we have,

α+β=

6

−1

αβ=

3

−1

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