Another 100pt
simplify:
​

α,β are the roots of ⇒ax

2

+bx+c=0

Then, a(α)

2

+b(α)+c=0

Now, α+2=x

Hence, α=x−2

Thus, replace α by x−2 in the given equation,

Required equation is

a(x−2)

2

+b(x−2)+c=0

⇒a(x

2

−4x+4)+bx−2b+c=0

⇒ax

2

+(b−4a)x+(4a−2b+c)=0

⇒ax

2

+x(b−4a)+4a−2b+c=0

she played for 18.75 hours.

step-by-step explanation:

if she played 2/4 of a hour on tuesday. and there is 60 minutes in an hour and 60 divided by 4 is 7.5. and she played 2/4 of an hour on thursday then again 60 divided by 4 is 7.5, you add 7.5+7.5=56.25. now you have to do 1/4 of an hour, it equals 3.75. now you have to add them all up. 3.75+7.5+7.5=18.75

i hope this and i hope you get it right. it took me a while to get this done for you. : )