Question

find the cubic equations of twio o whose rootsare 1-i and 5

Answer 1

Answer:

x³ - x² + x - 1 = 0

Step-by-step explanation:

If i is one root, the other root will be -i

So, the roots are:-

1 i -1

So, the equation will be,

=> (x - 1)(x + i)(x - i) = 0

=> (x - 1)(x² - i²) = 0

=> x³ + x - x² - 1 = 0

∴ x³ - x² + x - 1 = 0

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