SOLUTION: I'm stuck on a question that I believe involves imaginary numbers. The problem is to solve {{{ (7x+6)^2=-36 }}} . I have re-written and FOIL'd the problem to be {{{ 49x^2+84x+36=-3

Question 495770: I'm stuck on a question that I believe involves imaginary numbers. The problem is to solve . I have re-written and FOIL'd the problem to be and re-wrote it to . At this point, I'm am having trouble finding the possible factors in order to solve for 'x'. I know it has to involve 'i' since the original involves a negative. Any assistance will be greatly appreciated. Thank you!
Answer by kingme18(98) (Show Source): You can put this solution on YOUR website!
You did a great job with the expansion, and your way will work if you use the quadratic formula () using a=49, b=84, and c=72.

However, another approach to take is to use the fact that the polynomial is already written as a perfect square. If you take the square root of both sides, you'll have , or (sorry about the awkwardness with the positive/negatives...just remember that when you take the square root on both sides, you could get either a positive or negative). To solve, subtract 6 from both sides () then divide everything by 7: ; broken up, you two answers are and
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