Show the following quadratic equation by factorization method: 3x… - Vidyadip

Question

Show the following quadratic equation by factorization method:
$\sqrt{3}\text{x}^2-\sqrt{2 }\text{x}+2\sqrt{3}=0$

✓

Answer

$\sqrt{3}\text{x}^2-\sqrt{2 }\text{x}+2\sqrt{3}=0$
We will apply discriminant rule,
$\text{x}=\frac{-\text{b}\pm\sqrt{\text{D}}}{2\text{a}}\ ...(\text{A})$
Where D = b² - 4ac
$=(-\sqrt{2})^2-4.\sqrt{3}.3\sqrt{3}$
= 2 - 36
= -34
From (A)
$\text{x}=\frac{-(-2)\pm\sqrt{-34}}{2.\sqrt{3}}$
$=\frac{\sqrt{2}\pm\sqrt{34}\text{ i}}{2\sqrt{3}}$
$\therefore\text{x}=\frac{\sqrt{2}\pm\sqrt{34}\text{ i}}{2\sqrt{3}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Quadratic Equations→Quadratic Equations — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
$\frac{{{x^2}}}{{100}} + \frac{{{y^2}}}{{400}} = 1$

Find the equation of the curve formed by the set of all points which are equidistant from the points A (-1, 2, 3) and B(3, 2, 1).

Find the coefficient of x⁴ in the expansion of (1 + x + x² + x³ )¹¹.

Evaluate:
$\lim\limits_{\text{x} \rightarrow 0}\frac{(1+\text{x})^{6}-1}{(1+\text{x})^{2}-1}$

There are four men and six women on the city councils. if one council member is selected for a committee at random, how likel6y is that it is a women?

Prove that:
$\cos^3\text{x}\sin3\text{x}+\sin^3\text{x}\cos3\text{x}=\frac{3}{4}\sin4\text{x}$

Write the following relation as the sets of ordered pairs:
A relation R on the set {1, 2, 3, 4, 5, 6, 7}defined by $(\text{x, y})\in \text{R}\Leftrightarrow\text{x}$ is relatively prime to y.

$\frac{\text{n!}}{(\text{n-r})!}= \text{n}(\text{n}-1)(\text{n}-2).....(\text{n}(\text{n}-\text{r}))$

Prove that:
$\Big\{1+\cot\text{x}-\sec\Big(\frac{\pi}{2}+\text{x}\Big)\Big\}\Big\{1+\cot\text{x}+\sec\Big(\frac{\pi}{2}+\text{x}\Big)\Big\}=2\cot\text{x}$

If $\tan\theta_1\tan\theta_2=\text{k},$ then $\frac{\cos(\theta_1-\theta_2)}{\cos(\theta_1+\theta_2)}=$

$\frac{1+\text{k}}{1-\text{k}}$
$\frac{1-\text{k}}{1+\text{k}}$
$\frac{\text{k}+1}{\text{k}-1}$
$\frac{\text{k}-1}{\text{k}+1}$