Show the following quadratic equation by factorization method: x2… - Vidyadip

Question

Show the following quadratic equation by factorization method:
x²+ (1 − 2i) x − 2i = 0

✓

Answer

x²+ (1 − 2i) x − 2i = 0

⇒ x² + x - 2i - 2i = 0

⇒ x (x + 1) - 2i (x + 1) = 0

⇒ (x + 2i) (x + 1) = 0

⇒ x = 2i, -1

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 "2 Marks Questions" 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

Prove that:
$\frac{\sin\text{x}+\sin2\text{x}}{1+\cos\text{x}+\cos2\text{x}}=\tan\text{x}$

Find the equation of the line which passes through the point (-4, 3) and the portion of the line intercepted between the axes is divided internally in the ratio 5 : 3 by this point.

There are four parcels and five post-offices. In how many different ways can the parcels be sent by registered post?

Find: 18th term of the A.P. $\sqrt{2},\ 3\sqrt{2},\ 5\sqrt{2},\ ...$

Find the domain and range of the real function f defined by $f(x) = \sqrt {x - 1} $

Find the equation of ellipse which has vertices ($\pm$ 5, 0), foci ($\pm$4, 0)

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

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{3^{2+\text{x}}-9}{\text{x}}$

Two dice are thrown and the sum of the numbers which come upon the dice is noted. Let us consider the following events associated with this experiment
A: the sum is even.
B: the sum is a multiple of 3.
C: the sum is less than 4.
D: the sum is greater than 11.
Which pairs of these events are mutually exclusive?

Solve the following system of equations in R.
3x - 6 > 0, 2x - 5 > 0