**NCERT
Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations
Ex 5.3**

NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and
Quadratic Equations Ex 5.3 are the part of NCERT Solutions for Class 11 Maths.
Here you can find the NCERT Solutions for Class 11 Maths chapter 5 Complex
Numbers and Quadratic Equations Ex 5.3.

**Solve each
of the following equations:
**

**Ex 5.3
Class 11 Maths Question 1.**

x^{2}+ 3 = 0

**Solution.**

Given equation is: x^{2} +
3 = 0 ⇒ x^{2} = -3

⇒ x = ±√-3 = ±√3i^{2} [Since i^{2} = -1]

⇒ x = ±√3 i

**Ex 5.3 Class 11
Maths Question 2.**

2x^{2}+ x + 1 = 0

**Solution.**

Given equation is: 2x^{2} + x + 1 = 0

Comparing the given equation with the general form ax^{2} + bx + c
= 0, we get a = 2, b = 1 and c = 1.

**Ex 5.3 Class 11
Maths Question 3.**

x^{2}+ 3x + 9 = 0

**Solution.**

Given equation is: x^{2} + 3x + 9 = 0

Comparing the given equation with the general form ax^{2} + bx + c
= 0, we get a = 1, b = 3 and c = 9.

**Ex 5.3 Class 11
Maths Question 4.**

-x^{2}+ x – 2 = 0

**Solution.**

Given equation is: -x^{2} + x – 2 = 0

Comparing the given equation with the general form ax^{2} + bx + c
= 0, we get

a = -1, b = 1 and c = -2.

**Ex 5.3 Class 11
Maths Question 5.**

x^{2}+ 3x + 5 = 0

**Solution.**

Given equation is: x^{2} + 3x + 5 = 0

Comparing the given equation with the general form ax^{2} + bx + c
= 0, we get a = 1, b = 3 and c = 5.

**Ex 5.3 Class 11
Maths Question 6.**

x^{2}– x + 2 = 0

**Solution.**

Given equation is: x^{2} – x + 2 = 0

Comparing the given equation with the general form ax^{2} + bx + c
= 0, we get a = 1, b = -1, c = 2.

**Ex 5.3 Class 11 Maths Question 7.**

√2x^{2}+ x + √2 = 0

**Solution.**

Given equation is: √2x^{2} + x + √2 = 0

Comparing the given equation with the general form ax^{2} + bx + c
= 0, we get a = √2, b = 1 and c = √2.

**Ex 5.3 Class 11 Maths Question 8.**

√3x^{2 }– √2x + 3√3 = 0

**Solution.**

Given equation is: √3x^{2 }– √2x + 3√3 = 0

Comparing the given equation with the general form ax^{2} +
bx + c = 0, we get a = √3, b = -√2 and c = 3√3.

**Ex 5.3 Class 11 Maths Question 9.**

x^{2} + x + 1/√2 = 0

**Solution.**

Given equation is: x^{2} + x + 1/√2 = 0

Comparing the given equation with the general form ax^{2} + bx + c
= 0, we get a = 1, b = 1 and c = 1/√2.

**Ex 5.3 Class 11 Maths Question 10.**

x^{2} + x/√2 + 1 = 0

**Solution.**

Given equation is: x^{2} + x/√2 + 1 = 0

Comparing the given equation with the general form ax^{2} +
bx + c = 0, we get a = 1, b = 1/√2 and c = 1.