Q. 264.0( 3 Votes )

# A quadratic equat A. x^{2} + 4 = 0

B. x^{2} – 4 = 0

C. 4x^{2} – 1 = 0

D. x^{2} – 2 = 0

Answer :

Let Root of an equation = α = 2

Sum of the roots = α + β = 0, where α and β are two roots of the equation

β = – 2

α β = 2 x – 2 = – 4

the general equation is of the form

x^{2} + (sum of the roots)x + product of the roots = 0

x^{2} – 4 = 0 is the required equation

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