Download App

Quadratic Equations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSQuadratic Equations3 Marks
Question
Show the following quadratic equation: $\text{x}^2−(2+\text{i})\text{x}+\sqrt{2\text{i}}=0$
✓

Answer

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

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 3 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

Determine the domain and range of the relation R defined by: R = {$(x, x^3)$: x is a prime number less than 10}
→
If ${^\text{15}}\text{C}_{\text{r}}:{^\text{15}}\text{C}_{\text{r-1}},=11:5,$ Find r.
→
If A = {1, 2, 3}, B = {4}, C = {5}, then verify that: $\text{A}\times(\text{B}\cap\text{C})=(\text{A}\times\text{B})\cap(\text{A}\times\text{C})$
→
Prove that: $\tan8\text{x}-\tan6\text{x}-\tan2\text{x}=\tan8\text{x}\tan6\text{x}\tan2\text{x}$
→
Show that the points A (1, 2, 3), B(-1, -2, -1), C(2, 3, 2) and D(4, 7, 6) are the vertices of a parallelogram ABCD, but it is not a rectangle.
→
A farmer buys a used tractor for $₹12000$. He pays $₹ 6000$ cash and agrees to pay the balance in annual installments of $₹ 500$ plus $12\%$ interest on the unpaid amount. How much will the tractor cost him?
→
The 10th and 18th terms of an A.P. are 41 and 73 respectively. Find 26th term.
→
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.
$\frac{{{x^2}}}{4} + \frac{{{y^2}}}{{25}} = 1$
→
Evaluate the following:$\sum_\limits{\text{n}=1}^{11}(2+3^\text{n})$
→
Differentiate the following function with respect to $(\text{x})$:$\frac{(\text{x}+5)(\text{2x}^2-1)}{\text{x}}$
→