Question

find a and b if (a+b)(2+i)=b+1(10+2a)i​

Answer 1

Answer:

(a+b)(2+I)=b+1(10+2a)I

the value of a=-3and b=7

Answer 2

Answer:

a=-3,b=7

Step-by-step explanation:

2a+2i+2b+2i=b+1+(10+2a)i(2a+2b)+(a+b)i=b+1+(10+2a)i

Equating the real and imaginary parts

2a+2b=b+1......(1)

a+b=10+2a.....(2)

From1

2b-b=1-2a

b=1-2a.....(3)

From2

b=10+2a-a

b=10+a.....(4)

from 3 and 4

1-2a=10+a

1-10=a+2a

3a=-9

a=-3

substituting a=-3 in eq.3

b=10+a

b=10-3

b=7

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