Thread: Complex Numbers...Find x

Solve for x: (3 + 2i) + (4 + xi)= 7 - 5i

(1) -7
(2) -3
(3) 3
(4) 7

Originally Posted by magentarita

Solve for x: (3 + 2i) + (4 + xi)= 7 - 5i

(1) -7
(2) -3
(3) 3
(4) 7

3 + 2i + 4 + xi = 7 + (2 + x)i

now equate real and imaginary parts...

Hi magentarita.

Its simple math:



// - 3 // -2i



//-4



// : i

=>

Kind regards,
Rapha

Originally Posted by Rapha

Hi magentarita.

Its simple math:



// - 3 // -2i



//-4



// : i

=>

Kind regards,
Rapha

In this case, what does the symbol // mean?

Originally Posted by Jhevon

3 + 2i + 4 + xi = 7 + (2 + x)i

now equate real and imaginary parts...

7 + (2 + x)i = 7 - 5i

7 + 2i + xi = 7 - 5i

7 - 7 + xi = -2i - 5i

xi = -7i

x = -7i/i

x = -7

Is this correct?

Originally Posted by magentarita

7 + (2 + x)i = 7 - 5i

7 + 2i + xi = 7 - 5i

7 - 7 + xi = -2i - 5i

xi = -7i

x = -7i/i

x = -7

Is this correct?

Yes, but it's easier to just say

Real parts: , correct.

Imaginary parts: .

Originally Posted by magentarita

In this case, what does the symbol // mean?

It means nothing.
I just use(d) it to show the steps.
Don't you know some Programming languages (like Java)? Sometimes you use " // " to comment several lines out.

Regards,
Rapha

I want to thank everyone for your reply.