Roots of equations

Question 1

Summation of roots in a quadratic equation (a+b)

Answer 1

-b/a

Question 2

Products of roots in a quadratic equation (ab)

Answer 2

c/a

Question 3

Summation of roots in a cubic equation (a+b+y)

Answer 3

-b/a

Question 4

Summation of product of pairs of roots in a cubic equation (ab+ay+by)

Answer 4

c/a

Question 5

Products of roots in a cubic equation (aby)

Answer 5

-d/a

Question 6

Summation of squares of roots (cubic equations) (a^2+b^2+y^2)

Answer 6

(Ea)^2-2Eab

Question 7

Summation of cubes of roots (cubic equations) (a^3+b^3+y^3)

Answer 7

(Ea)^3-3(Eab)(Ea)+3(Eaby)

Question 8

Summation of squares of roots (quadratic equations) (a^2+b^2)

Answer 8

(Ea)^2-2Eab

Question 9

Summations of cubes of roots (quadratic equation) (a^3+b^3)

Answer 9

(Ea)^3-3(Eab)(Ea)

Question 10

Summation of single roots in quartic equations

Answer 10

-b/a

Question 11

Summation of products of pairs of root in quartic equations

Answer 11

c/a

Question 12

Summation of product of three roots

Answer 12

-d/a

Question 13

Product of roots in quartic equations

Answer 13

e/a