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Falling_In_Katt
 one year ago
***WILL MEDAL***
Solve this equation by completing the square.
3x^2  4x = 2
Falling_In_Katt
 one year ago
***WILL MEDAL*** Solve this equation by completing the square. 3x^2  4x = 2

This Question is Closed

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Do you know the steps to complete the square?

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1All right. Here you go. Divide the whole equation by whatever is multiplying the squared term. In this cae you have to divide everything by 3. By doing this, you have \(x^{2}\frac{4}{3}x=\frac{2}{3}\)

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Then you take half of the "x" coefficient (\(\frac{4}{3}\)), square it and add to both sides.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Which means you will be adding \((\frac{2}{3})^{2}\) to both sides.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1By doing this, you will have \(x^{2}\frac{4}{3}x+ \frac{4}{9}=\frac{2}{3}+\frac{4}{9}\)

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Do you see that the left side can be rewritten as a perfect square?

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1And that's it! Rewrite the left side, simplify the right side and you will *ALMOST* have your answer. Can you finish it?

Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0Im trying to square the left side and its not working

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Well, rewriting it as a square we have \((x\frac{2}{3})^{2}\)

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Reminder that \((ab)^{2}=a^{2}2ab+b^{2}\) Moving on... We have \((x\frac{2}{3})^{2}=\frac{2}{9}\) and \(x\frac{2}{3}=±\sqrt{\frac{2}{9}}\) This problem WILL NOT have answers in the set of reals, ONLY in the set of complex numbers.

Falling_In_Katt
 one year ago
Best ResponseYou've already chosen the best response.0Oh. That makes more sense.

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Does it ask for its roots?

ChillOut
 one year ago
Best ResponseYou've already chosen the best response.1Well, then there you have your answer. :D
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