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

Question

Show the following quadratic equation by factorization method: $\text{x}^2-(2\sqrt{3}+3\text{i}))\text{x}+6\sqrt{3}\text{ i}=0$

✓

Answer

$\text{x}^2-(2\sqrt{3}+3\text{i}))\text{x}+6\sqrt{3}\text{ i}=0$ $\Rightarrow\text{x}^2-2\sqrt{3\text{x}}-3\text{ix}+6\sqrt{3}\text{i}=0$ $\Rightarrow\text{x}(\text{x}-2\sqrt{3})-3\text{i}(\text{x}-2\sqrt{3})=0$ $\Rightarrow(\text{x}-3\text{i})(\text{x}-2\sqrt{3})=0$ $\Rightarrow\text{x}=3\text,2\sqrt{3}$

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 "(Each question 2 marks)" from Quadratic Equations→Quadratic Equations — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

List all the elements of the following sets: $\text{A} = \{\text{x : x 2} \leq 10,\text{ x} \in\text{ Z}\};$

Find the rational number whose decimal expansion is $0.\overline{423}.$

Find the centre and radius of the circle. $(x+5)^2+(y-3)^2=36$

Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and C(-1, -1) are the vertices of a right angled triangle.

Find the equation of the line through (– 2, 3) with slope – 4.

Prove that: $\cos24^\circ\cos55^\circ+\cos125^\circ+\cos204^\circ+\cos300^\circ=\frac12$

Find the derivative of $\frac{{{x^n} - {a^n}}}{{x - a}}$ for some constant a.

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow0}\frac{8^\text{x}-4^\text{x}-2^\text{x}+1}{\text{x}^2}$

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow0}\frac{\text{x}\big(2^\text{x}-1\big)}{1-\cos\text{x}}$

The sum of three numbers which are consecutive terms of an A.P. is $21$. If the second number is reduced by $1$ and the third is increased by $1$, we obtain three consecutive terms of a G.P. Find the numbers.