Question

8. The difference between the roots of the equation 8x² - 32x + k = 0 is 5, then k =:

A) 10

B)-12

Answer 1

Answer:

-18

Step-by-step explanation:

X=(-b+/-√b²-4ac)/2a

so..

X=-(-32)+/-√32²-4×8×k/2×8

X=32+/-√32²-32k/16

=32+/-✓32(32-k)/16

the roots of the equation...

1)32+✓32(32-k)/16

2)32-✓32(32-k)/16

their difference is

√32(32-k)/8=5

√32(32-k)=40

32(32-k)=1600

32-k=50

-k=50-32

-k=18

k=-18

so the answer is -18

Answer 2

Answer

Step-by-step explanation: this is a good answer btw