MHT CET202618 April 2026Evening ShiftMathematicsQuadratic EquationActual

The difference between the roots of the equation x^2 + 2x + 4 = 0 is (where i = -1 )

Options

A2 3
B3 2
C2i 3
Di 3

Correct answer

C. 2i 3

Step-by-step solution

Given equation is x^2 + 2x + 4 = 0 . Let the roots of the equation be and . Sum of the roots, + = -2 Product of the roots, = 4 Using the identity ( - )^2 = ( + )^2 - 4 : ( - )^2 = (-2)^2 - 4(4) ( - )^2 = 4 - 16 = -12 - = -12 = 2i 3 From the given options, the difference between the roots is 2i 3 .

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