Question

Please help by solving it

Answer 1

Answer:

6×5/2^3- (k+6)×5/2^2+k×5/2

Step-by-step explanation:

6×125/8-(k+6)25/4+2k×5/2

3×125/4-25/4k-3×25/2+5k

375/4-25/4k-75/2+5k

375/4-75/2-25/4k+5k

375/4-150/4-25/4k+20/4k

225/4-5/4k=0

225/4=5/4k

225/4×4=5k

then,

5k=225

k=45

Answer 2

Answer:

Let p(x)=6x^3-(k+6)x^2+2kx

p(5/2)=6×(5/2)3-(k+6)(5/2)^2+2k×5/2

=6×125/8-(k+6)×25/4+5k

=375/4-(25/4)k-75/2+5k

=225/4-(5/4)k

=225-5k=0

k=45