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

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

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2 thoughts on “if one root of the quadratic equation is 5+3i then the other root is 5-3i is true or false​”

  1. 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.
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