Decide whether each statement is true or false. If false, correct...

Question

Decide whether each statement is true or false. If false, correct the right side of the equation. (-2+7i) - (10-6i)= -12+i

Accepted Answer

Hello everyone. We've been asked to identify if the statement 17 plus three I minus six plus 13. I equals 11 plus 16 I is correct or not and if it is not correct we need to edit the right hand side to make it correct. I'm going to start out by simplifying my left hand side and then I'll see if they match. So I have the complex number 17 plus three I -6 plus 13. I I recall that these work very much like the binomial as I'm used to working with. So to simplify this, I'm going to rewrite it without parentheses. In order to do that I need to distribute the negative sign into my second set of parentheses. So my 17 plus three I stays the same negative one times six is negative six negative one times 13 I is negative 13. I Now that I've gotten the parentheses out of the way I can combine my like terms. So like terms in this case are gonna be the real parts and the imaginary parts. So the real number of 17 and the real number of negative six will give me a positive 11. The imaginary part of positive three i. And -13. I combined to be -10. I that's as simplified as that can be. So does it match my original statement? Well the original statement said that it equaled 11 plus 16. I This equals 11 -10. I which means that our original statement is incorrect which is answer choice B. And that it should equal 11 minus 10. I so are correct statement should be 17 plus three I minus six plus 13. I equals 11 minus 10 I. Which again was answer choice B. Have a good day.

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Decide whether each statement is true or false. If false, correct the right side of the equation. (-2+7i) - (10-6i)= -12+i

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