Question

Determine the nature of the roots of the following equation but do not solve the equation.

4x^2-5x+2=0

Answer 1

Nature of roots is determined by value of discriminant D (D=b^2-4ac)

If D is greater than zero roots are real and distinct

if D is equal to 0 then roots are real and same

if D is less than 0 roots are complex

In given eqn

D = 25 - 4×4×2=-7

D<0

roots are complex

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