Question

State whether x= 4/5 is a root of 2x² +(K-6)
x-3=0​

Answer 1

Answer:

Substitute x=

2

−k

in the quadratic equation 2x

2

+(k−6)x−3k=0

2(

2

−k

)

2

+(k−6)(

2

−k

)−3k

=

2

k

2

−

2

k

2

+3k−3k

=0

Thus,

2

−k

is a root of the equation.

Answer 2

Answer:

k = 161/20. or 8.05

so, therefore x= 4/5 is NOT a root of 2x² +(K-6)

x-3=0