NCERT Solution Class XI Mathematics Complex Numbers and Quadratic Equations Question 3 (Ex 5.3)

Question 3:

Solve the equation x2 + 3x + 9 = 0

Answer

The given quadratic equation is x2 + 3x + 9 = 0

On comparing the given equation with ax2 + bx + c = 0, we obtain

a = 1, b = 3, and c = 9

Therefore, the discriminant of the given equation is

D = b2 – 4ac = 32 – 4 × 1 × 9 = 9 – 36 = –27

Therefore, the required solutions are

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