Question

Find a and b if
abi = 3a - b +12i

Answer 1

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Answer 2

Answer:

a=2,b=6 and a=-2,b=-6

Explanation:

We are given that ab i=3a-b+12 i

We have to find the value of a and b

ab i= 3a-b+12 i

Comparing on both sides then we get

ab=12 and 3a-b=0

3a-b=0

$3a=b$

$a=\frac{b}{3}$

Substitute the value of a then we get

$\frac{b}{3}\times b=12$

$b^2=36[/txe]</p><p>[tex]b^2=\sqrt{36}$

$b=\pm6$

When b=6 then $a=\frac{6}{3}=2$

When b=-6 then $a=\frac{-6}{3}=-2$

Answer a=2,b=6 and a=-2,b=-6