What multipys to get 60 and adds to get -9?

Answer 1

51

Answer 2

There are no two real numbers that do, but with complex numbers:

(-9/2 + 1/2 i√159) & (-9/2 - 1/2 i√159)

multiply to 60 and add to -9

To multiply to 60 and add to 9, the two complex numbers:

(9/2 + 1/2 i√159) & (9/2 - 1/2 i√159)

do.

To multiply to -60 and add to -9, the two [real] numbers:

(-9/2 + 1/2 √321) ≈ 4.4582

(-9/2 - 1/2 √321) ≈ -13.4582

do.

To multiply to -60 and add to 9, the two [real] numbers:

(9/2 + 1/2 √321) ≈ 13.4582

(9/2 - 1/2 √321) ≈ -4.4582

do.