Find the multiplicative inverse of : 3+4i/4-5i

Dear Student,

Please find below the solution to the asked query :

Let z = 3+4i4-5iNow, multiplicative inverse = 1z = 4-5i3+4i1z = 4-5i3+4i = 4-5i3+4i × 3-4i3-4i = 12-16i-15i-2032-4i2 = -31i-89+16 = -8-31i25

Hope this would clear your doubt.

Do let us know in case of any further  concerns.

Regards

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