NCERT Solution Class XI Mathematics Complex Numbers and Quadratic Equations Question 2 (Ex 5.3)

Question 2:

Solve the equation 2x2 + x + 1 = 0

Answer

The given quadratic equation is 2x2 + x + 1 = 0

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

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

Therefore, the discriminant of the given equation is

D = b2 – 4ac = 12 – 4 × 2 × 1 = 1 – 8 = –7

Therefore, the required solutions are

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