NCERT Solution Class XI Mathematics Complex Numbers and Quadratic Equations Question 7 (Ex 5.3)

Question 7:

Solve the equation √2x2 + x + √2 = 0

Answer

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

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

a = √2, b = 1, and c = √2

Therefore, the discriminant of the given equation is

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

Therefore, the required solutions are

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