Solve each of the following equations:
$$
\sqrt{3} x^{2}-\sqrt{2} x+3 \sqrt{3}=0
$$

Answer

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Algebra

NCERT Class 11 - Math

Chapter 5

Complex Numbers and Quadratic Equations

Section 3

Algebra of Complex Numbers

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Video Transcript

construct this equation by writing it as my square root equation nursery as my quadratic using square root of X as my variable. So two square root of X squared plus the square root of X minus three equals zero. Looking at these numbers, I can see that these are easily fact herbal. Yeah. So when I factored this, I'm going to get the square root of X minus one. Yeah, go ahead and set that equal to zero because I'm getting ready to So yeah, and then I'm going to have two times the square root of X plus three. Ah, again bashing equal zero. Now we're ready to solve. So the swear it of Axe it was one squaring both sides. X equals one. Here we'll have a square root of X equals negative 3/2. And then when we square that we're gonna have X equals 9/4 so I can see this one works very easily. The nine force you might want to check what really less so let's just see. So if I put in nine force here for X, I take the square root of that and square it. Yes, I can do it because it is positive. And that's gonna cancel the leave me nine house. When I do the same thing here, I'm going to get You're not not, um, square root of nine house. Gonna give me three halfs and then minus three. And yes, this one does actually work. You should always check these because you can get erroneous answer.

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