Chapter 5 – Complex Numbers and Quadratic Equations (Ex – 5.3)

Complex Numbers and Quadratic Equations (Ex – 5.3)

Solve each of the following equations:

Question 1.
x² + 3 = 0

Solution.

Question 2.
2x² + x + 1 = 0

Solution.
We have, 2x² + x + 1 = 0
Comparing the given equation with the general form ax² + bx + c = 0, we get

Question 3.
x² + 3x + 9 = 0

Solution.
We have, x² + 3x + 9 = 0
Comparing the given equation with the general form ax² + bx + c = 0,we get a = 1, b = 3, c = 9

Question 4.
-x² + x – 2 = 0

Solution.
We have, -x² + x – 2 = 0
Comparing the given equation with the general form ax² + bx + c = 0,we get
a = 1, b = 1, c = -2

Question 5.
x² + 3x + 5 = 0

Solution.
We have, x² + 3x + 5 = 0
Comparing the given equation with the general form ax² + bx + c = 0, we get a = 1, b = 3, c = 5.

Question 6.
x² – x + 2 = 0

Solution.
We have, x² – x + 2 = 0
Comparing the given equation with the general form ax² + bx + c = 0, we get a = 1, b = -1, c = 2.

Question 7.

Solution.
We have, 

Comparing the given equation with the general form ax² + bx + c = 0, we get

Question 8.

Solution.
We have, 

Question 9.

Solution.
We have, 

Comparing the given equation with the general form ax² + bx + c = 0, we get

Question 10.

Solution.
We have,

Comparing the given equation with the general form ax² + bx + c = 0, we get