Question

if one root of the quadratic equation is 5+3i then the other root is 5-3i is true or false​

Answer 1

Answer:

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true

Answer 2

It is true that, if one root of the quadratic equation is 5+3i then the other root is 5-3i.

• According to the conjugate roots theorem, if one root of a quadratic equation is (a+ib) then the another root of the quadratic equation will be (a-ib). Both roots are conjugates of each other.
• So, if the one root is (5+3i), the another root will be it's conjugate, or (5-3i). (Here, a = 5 and b = 3)
• So, the given statement is absolutely true.