Which values of p and q would make the value of the following expression equal to 58i? (3 – 7i)(p + qi)i

Question

asked Oct 15, 2019 83.2k views

2 Answers

Doublebyte · Answer 1 · 2019-10-20T06:50:16+0000

we are given

(3-7i)(p+qi)i=58i

firstly, we will simplify left side

and then we can compare it with right side

so, we can distribute

(3p+3qi-7pi-7qi^2)i=58i

(3p+3qi-7pi+7q)i=58i

we have i on both sides

so,i will get cancelled

(3p+3qi-7pi+7q)=58

(3p+7q+(3q-7p)i)=58

we can also write as

(3p+7q)+(3q-7p)i=58+0*i

now, we can compare

and we get

3p+7q=58

3q-7p=0

now, we can solve for p and q

we get

$q=7,\:p=3$ .............Answer