if a,b,c are rootrs of third order equation find a(ab)+b(bc)+c(ca) ,and aaa+bbb+ccc?

Question

if xpower3+pxpower2+qx+r is the third order equation find the sum of (a square multiply by b+b square multiply by c+c square multiply by a) and the sum of (cube of a+cube of b+ cube of c)

Answer 1

Do your own homework, how do you expect to pass any tests if you don't do the work beforehand

Answer 2

I'm not sure if this is what you're after, but consider this:
a,b,c are the roots of the equation. That means putting in a, b, or c as x with make the equation = 0. So

a^3 + p*a^2 + q*a + r = 0
b^3 + p*b^2 + q*a + r = 0
c^3 + p*c^2 + q*c + r = 0

You can use each equation to find the values of each root, each root squared and each root cubed.

For example:

a^3 = -p*a^2 - q*a - r
b^3 = -p*b^2 - q*b - r
c^3 = -p*c^2 - q*c - r

then a^3 + b^3 + c^3 = -p*a^2 - q*a - r - p*b^2 - q*b - r - p*c^2 - q*c - r

You can do the same for a^2, a ,b^2, b, c^2 and c.

Answer 3

E-a million, E-2 etc by using E-9. then you definately've WO-a million, WO-2 and WO-3. After that, you have O-a million, O-2 etc by using O-10. Now, in case you opt to correctly known what those potential, it would rely on the dept of provider you're conversing approximately. interior the Air tension, you have Airman easy, Airman, Airman top notch, Sergeant, artwork tension Sergeant, Technical Sergeant, grasp Sergeant, Senior grasp Sergeant, and ultimately chief grasp Sergeant. Then the WO's or warrant officers, yet there are no interior the Air tension, was, yet no longer to any extent further. The for officers, you have 2nd Lieutenant, First Lieutenant, Captain, substantial, Lieutenant Colonel, Colonel, Brigadier wide-spread, substantial wide-spread, Lieutenant wide-spread, and ultimately wide-spread. each branch of the protection tension has their own names for each paygrade, however the paygrades are all of the comparable.

Answer 4

Answer: Johnny will have 3 apples and billy will have a sore wrist

Answer 5

I don't know the answer, but you can start by multiplying out
(x-a)(x-b)(x-c).

Answer 6

Oh yeah this is easy! The answer is asfrjkvg

Answer 7

whhhhhhhhhhaaaaaaaaaaaaaaa umm it's 3

Answer 8

yes.