# Exercise 5.3(Complex Numbers and Quadratic Equations)

Solve each of the following equations:(Exercise 5.3 complex no. ncert math solution class 11)

Question 1:  .

Solution : The given quadratic equation is .

Question 2: .

Solution: The given quadratic equation is .

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

Question 3: .

Solution: The given quadratic equation is .

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

Question 4: .

Solution : The given quadratic equation is .

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

Question 5: .

Solution : The given quadratic equation is .

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

Question 6: .

Solution: The given quadratic equation is .

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

Question 7: .

Solution: The given quadratic equation is .

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

Question 8: .

Solution: The given quadratic equation is .

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

Question 9:

Solution : The given quadratic equation is

.

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

Question 10:

Solution: The given quadratic equation is

.

On comparing the given equation with ,

we obtain , and

Therefore, the discriminant of the given equation is given by

Therefore, the required solutions are

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