Question

find the value of 'and 'b' of a complex number -7+8i÷1+i​

Answer 1

Step-by-step explanation:

(-7+8i)÷(1+i)

(-7+8i)/(1+i)

{(-7+8i)/(1+i)}{(1-i)/(1-i)}

{(-7+8i)(1-i)}/{(1+i)(1-i)}

{-7+7i+8i-8i²}/{1-i+i-i²}

(-7-8i²+15i)/(1-i²)

(-7-8(-1)²+15i)/{1-(-1)}

(-7+8+15i)/2

(1+15i)/2

1/2+15i/2

in complex no. "a" is real part and "b" is imaginary

part

here,

a= 1/2 and b= 15/2

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