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anonymous
 one year ago
A student uses the quadratic formula to solve a quadratic equation and determines that one of the solutions is x equals negative seven plus square root of negative 99 end square root. What are the values of a and b if this solution is written in the form x = a + bi, where a and b are real numbers?
anonymous
 one year ago
A student uses the quadratic formula to solve a quadratic equation and determines that one of the solutions is x equals negative seven plus square root of negative 99 end square root. What are the values of a and b if this solution is written in the form x = a + bi, where a and b are real numbers?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Bit of factoring is all that's required. You are given\[x=7 + \sqrt{99}\]Let's do some factoring using the rules of working with radicals.\[x=7 + \sqrt{99}\sqrt{1}\]You OK with that so far?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good. Now, are you able to simplify \(\sqrt{99}\) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Excellent. And do you know what \(\sqrt{1}\) is?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No. The square root of 1 is the imaginary number i. It is referred to in the question. Have you seen it before?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OK. So now your question looks like\[x=7 + \sqrt{99}\sqrt{1}\]\[x=7+3\sqrt{11}i\]Compare this with\[x=a+bi\]What are the values of a and b?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Fantastic. Good job!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you sooo much :))))
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