Simplify the following quotient of complex numbers into the form a+bi: `(1+8i)/ (-6+i)`

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justaguide | College Teacher | (Level 2) Distinguished Educator

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To express `(1+8i)/ (-6+i)` in the form a + ib, multiply numerator and denominator by -6 + i

=> `((1+8i)(-6-i))/ ((-6+i)(-6-i))`

=> `(-6-48i-i+8)/(36+1)`

=> `(2-49i)/37`

=> `2/37 - (49/37)i`

The required form of the complex number is `2/37 - (49/37)i`

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